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104140608 = 26311133793
BaseRepresentation
bin1100011010100…
…00111101000000
321020221220001120
412031100331000
5203124444413
614200032240
72403115635
oct615207500
9236856046
10104140608
115386a420
122aa62680
1318763380
14db8c18c
159221723
hex6350f40

104140608 has 112 divisors (see below), whose sum is σ = 323795136. Its totient is φ = 29122560.

The previous prime is 104140571. The next prime is 104140613. The reversal of 104140608 is 806041401.

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

It is a congruent number.

It is an unprimeable number.

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, 25560 + ... + 29352.

It is an arithmetic number, because the mean of its divisors is an integer number (2891028).

Almost surely, 2104140608 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 104140608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161897568).

104140608 is an abundant number, since it is smaller than the sum of its proper divisors (219654528).

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

104140608 is a wasteful number, since it uses less digits than its factorization.

104140608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3822 counting only the distinct ones).

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

The square root of 104140608 is about 10204.9305730122. The cubic root of 104140608 is about 470.4787757376.

The spelling of 104140608 in words is "one hundred four million, one hundred forty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 3793 4576 6864 7586 9152 11379 13728 15172 22758 27456 30344 41723 45516 49309 60688 83446 91032 98618 121376 125169 147927 166892 182064 197236 242752 250338 295854 333784 364128 394472 500676 542399 591708 667568 728256 788944 1001352 1084798 1183416 1335136 1577888 1627197 2002704 2169596 2366832 2670272 3155776 3254394 4005408 4339192 4733664 6508788 8010816 8678384 9467328 13017576 17356768 26035152 34713536 52070304 104140608