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104357640 = 23356011447
BaseRepresentation
bin1100011100001…
…01111100001000
321021100220202210
412032011330020
5203203421030
614204425120
72405011452
oct616057410
9237326683
10104357640
11539a8492
122ab481a0
131880b0aa
14dc072d2
159265bb0
hex6385f08

104357640 has 64 divisors (see below), whose sum is σ = 313810560. Its totient is φ = 27763200.

The previous prime is 104357623. The next prime is 104357651. The reversal of 104357640 is 46753401.

It is a super-4 number, since 4×1043576404 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 104357598 and 104357607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71397 + ... + 72843.

It is an arithmetic number, because the mean of its divisors is an integer number (4903290).

Almost surely, 2104357640 is an apocalyptic number.

104357640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104357640 is an abundant number, since it is smaller than the sum of its proper divisors (209452920).

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

104357640 is a wasteful number, since it uses less digits than its factorization.

104357640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 104357640 is about 10215.5587218713. The cubic root of 104357640 is about 470.8053793586.

The spelling of 104357640 in words is "one hundred four million, three hundred fifty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 601 1202 1447 1803 2404 2894 3005 3606 4341 4808 5788 6010 7212 7235 8682 9015 11576 12020 14424 14470 17364 18030 21705 24040 28940 34728 36060 43410 57880 72120 86820 173640 869647 1739294 2608941 3478588 4348235 5217882 6957176 8696470 10435764 13044705 17392940 20871528 26089410 34785880 52178820 104357640