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2061854640 = 243253192377
BaseRepresentation
bin111101011100101…
…0110011110110000
312022200202001211200
41322321112132300
513210313322030
6540332411200
7102044322006
oct17271263660
95280661750
102061854640
119689549aa
12496616b00
1326b223541
14157b9aa76
15c102ed60
hex7ae567b0

2061854640 has 120 divisors (see below), whose sum is σ = 7147840128. Its totient is φ = 532085760.

The previous prime is 2061854623. The next prime is 2061854647. The reversal of 2061854640 is 464581602.

2061854640 is a `hidden beast` number, since 2 + 0 + 6 + 1 + 8 + 5 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2061854595 and 2061854604.

It is not an unprimeable number, because it can be changed into a prime (2061854647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23869 + ... + 68508.

Almost surely, 22061854640 is an apocalyptic number.

2061854640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2061854640 is an abundant number, since it is smaller than the sum of its proper divisors (5085985488).

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

2061854640 is a wasteful number, since it uses less digits than its factorization.

2061854640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92427 (or 92418 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 2061854640 is about 45407.6495758149. The cubic root of 2061854640 is about 1272.7780631926.

The spelling of 2061854640 in words is "two billion, sixty-one million, eight hundred fifty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 92377 184754 277131 369508 461885 554262 739016 831393 923770 1108524 1385655 1478032 1662786 1847540 2217048 2771310 2863687 3325572 3695080 4156965 4434096 5542620 5727374 6651144 7390160 8313930 8591061 11085240 11454748 13302288 14318435 16627860 17182122 22170480 22909496 25773183 28636870 33255720 34364244 42955305 45818992 51546366 57273740 66511440 68728488 85910610 103092732 114547480 128865915 137456976 171821220 206185464 229094960 257731830 343642440 412370928 515463660 687284880 1030927320 2061854640