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104588040 = 23354320269
BaseRepresentation
bin1100011101111…
…10001100001000
321021210121211010
412032332030020
5203233304130
614213403520
72406661254
oct616761410
9237717733
10104588040
11540455a7
122b0395a0
131888bc1b
14dc67264
1592ae0b0
hex63be308

104588040 has 64 divisors (see below), whose sum is σ = 321076800. Its totient is φ = 27240192.

The previous prime is 104588039. The next prime is 104588059. The reversal of 104588040 is 40885401.

It is a super-2 number, since 2×1045880402 = 21877316222083200, which contains 22 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 = 104587989 and 104588007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975 + ... + 15294.

It is an arithmetic number, because the mean of its divisors is an integer number (5016825).

Almost surely, 2104588040 is an apocalyptic number.

104588040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104588040 is an abundant number, since it is smaller than the sum of its proper divisors (216488760).

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

104588040 is a wasteful number, since it uses less digits than its factorization.

104588040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20326 (or 20322 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 104588040 is about 10226.8294206954. The cubic root of 104588040 is about 471.1516048582.

The spelling of 104588040 in words is "one hundred four million, five hundred eighty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 20269 40538 60807 81076 101345 121614 162152 202690 243228 304035 405380 486456 608070 810760 871567 1216140 1743134 2432280 2614701 3486268 4357835 5229402 6972536 8715670 10458804 13073505 17431340 20917608 26147010 34862680 52294020 104588040