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104001640 = 2357335617
BaseRepresentation
bin1100011001011…
…11000001101000
321020200211102121
412030233001220
5203111023030
614153041024
72401666531
oct614570150
9236624377
10104001640
1153784a76
122a9b6174
1318715042
14db53688
1591e547a
hex632f068

104001640 has 32 divisors (see below), whose sum is σ = 237215880. Its totient is φ = 41029632.

The previous prime is 104001617. The next prime is 104001641. The reversal of 104001640 is 46100401.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 80245764 + 23755876 = 8958^2 + 4874^2 .

It is a super-2 number, since 2×1040016402 = 21632682245379200, which contains 22 as substring.

104001640 is a modest number, since divided by 1640 gives 1040 as remainder.

It is not an unprimeable number, because it can be changed into a prime (104001641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14889 + ... + 20728.

Almost surely, 2104001640 is an apocalyptic number.

104001640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104001640 is an abundant number, since it is smaller than the sum of its proper divisors (133214240).

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

104001640 is a wasteful number, since it uses less digits than its factorization.

104001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35701 (or 35697 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 104001640 is about 10198.1194344840. The cubic root of 104001640 is about 470.2694094471.

The spelling of 104001640 in words is "one hundred four million, one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 35617 71234 142468 178085 284936 356170 712340 1424680 2600041 5200082 10400164 13000205 20800328 26000410 52000820 104001640