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104041608 = 2331133257
BaseRepresentation
bin1100011001110…
…00110010001000
321020202212020220
412030320302020
5203113312413
614153550040
72402224206
oct614706210
9236685226
10104041608
1153802000
122aa15320
131872a2a8
14db64076
159202223
hex6338c88

104041608 has 64 divisors (see below), whose sum is σ = 286182720. Its totient is φ = 31518080.

The previous prime is 104041607. The next prime is 104041631. The reversal of 104041608 is 806140401.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104041601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30316 + ... + 33572.

It is an arithmetic number, because the mean of its divisors is an integer number (4471605).

Almost surely, 2104041608 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 104041608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143091360).

104041608 is an abundant number, since it is smaller than the sum of its proper divisors (182141112).

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

104041608 is a wasteful number, since it uses less digits than its factorization.

104041608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3299 (or 3273 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 104041608 is about 10200.0788232248. The cubic root of 104041608 is about 470.3296434990.

The spelling of 104041608 in words is "one hundred four million, forty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3257 3993 5324 6514 7986 9771 10648 13028 15972 19542 26056 31944 35827 39084 71654 78168 107481 143308 214962 286616 394097 429924 788194 859848 1182291 1576388 2364582 3152776 4335067 4729164 8670134 9458328 13005201 17340268 26010402 34680536 52020804 104041608