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54205020 = 223252313093
BaseRepresentation
bin1100111011000…
…1101001011100
310202222220022100
43032301221130
5102334030040
65213445100
71225510062
oct316615134
9122886270
1054205020
1128663041
12161a0790
13b2cb39c
1472b0032
154b5ab30
hex33b1a5c

54205020 has 72 divisors (see below), whose sum is σ = 171583776. Its totient is φ = 13825152.

The previous prime is 54205003. The next prime is 54205097. The reversal of 54205020 is 2050245.

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 = 54204984 and 54205002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2407 + ... + 10686.

It is an arithmetic number, because the mean of its divisors is an integer number (2383108).

Almost surely, 254205020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54205020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85791888).

54205020 is an abundant number, since it is smaller than the sum of its proper divisors (117378756).

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

54205020 is a wasteful number, since it uses less digits than its factorization.

54205020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131 (or 13126 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 54205020 is about 7362.4058567835. The cubic root of 54205020 is about 378.4540608889.

Adding to 54205020 its reverse (2050245), we get a palindrome (56255265).

It can be divided in two parts, 5420 and 5020, that added together give a triangular number (10440 = T144).

The spelling of 54205020 in words is "fifty-four million, two hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 414 460 690 828 1035 1380 2070 4140 13093 26186 39279 52372 65465 78558 117837 130930 157116 196395 235674 261860 301139 392790 471348 589185 602278 785580 903417 1178370 1204556 1505695 1806834 2356740 2710251 3011390 3613668 4517085 5420502 6022780 9034170 10841004 13551255 18068340 27102510 54205020