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2054212020 = 2232575093203
BaseRepresentation
bin111101001110000…
…1100100110110100
312022011100210010200
41322130030212310
513201334241040
6535500520500
7101622341220
oct17234144664
95264323120
102054212020
11964604993
12493b50130
13269778993
14156b6b780
15c0520630
hex7a70c9b4

2054212020 has 144 divisors (see below), whose sum is σ = 7137486720. Its totient is φ = 468465408.

The previous prime is 2054212019. The next prime is 2054212031. The reversal of 2054212020 is 202124502.

2054212020 is a `hidden beast` number, since 2 + 0 + 542 + 120 + 2 + 0 = 666.

2054212020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20542120202 = 8439574046224960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2054211984 and 2054212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639739 + ... + 642941.

It is an arithmetic number, because the mean of its divisors is an integer number (49565880).

Almost surely, 22054212020 is an apocalyptic number.

2054212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568743360).

2054212020 is an abundant number, since it is smaller than the sum of its proper divisors (5083274700).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2054212020 is a wasteful number, since it uses less digits than its factorization.

2054212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3734 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2054212020 is about 45323.4158024304. The cubic root of 2054212020 is about 1271.2035256517.

Adding to 2054212020 its reverse (202124502), we get a palindrome (2256336522).

The spelling of 2054212020 in words is "two billion, fifty-four million, two hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 509 630 1018 1260 1527 2036 2545 3054 3203 3563 4581 5090 6108 6406 7126 7635 9162 9609 10180 10689 12812 14252 15270 16015 17815 18324 19218 21378 22421 22905 28827 30540 32030 32067 35630 38436 42756 44842 45810 48045 53445 57654 64060 64134 67263 71260 89684 91620 96090 106890 112105 115308 128268 134526 144135 160335 192180 201789 213780 224210 269052 288270 320670 336315 403578 448420 576540 641340 672630 807156 1008945 1345260 1630327 2017890 3260654 4035780 4890981 6521308 8151635 9781962 11412289 14672943 16303270 19563924 22824578 24454905 29345886 32606540 34236867 45649156 48909810 57061445 58691772 68473734 73364715 97819620 102710601 114122890 136947468 146729430 171184335 205421202 228245780 293458860 342368670 410842404 513553005 684737340 1027106010 2054212020