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104335392 = 2537179133
BaseRepresentation
bin1100011100000…
…00100000100000
321021022210020210
412032000200200
5203202213032
614204134120
72404556550
oct616004040
9237283223
10104335392
11539927a7
122ab37340
1318800c25
14dbdd160
15925e2cc
hex6380820

104335392 has 96 divisors (see below), whose sum is σ = 331454592. Its totient is φ = 28053504.

The previous prime is 104335381. The next prime is 104335397. The reversal of 104335392 is 293533401.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (104335397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6858 + ... + 15990.

It is an arithmetic number, because the mean of its divisors is an integer number (3452652).

Almost surely, 2104335392 is an apocalyptic number.

104335392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104335392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165727296).

104335392 is an abundant number, since it is smaller than the sum of its proper divisors (227119200).

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

104335392 is a wasteful number, since it uses less digits than its factorization.

104335392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9162 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 104335392 is about 10214.4697366040. The cubic root of 104335392 is about 470.7719199891.

Adding to 104335392 its reverse (293533401), we get a palindrome (397868793).

The spelling of 104335392 in words is "one hundred four million, three hundred thirty-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 9133 11424 18266 27399 36532 54798 63931 73064 109596 127862 146128 155261 191793 219192 255724 292256 310522 383586 438384 465783 511448 621044 767172 876768 931566 1022896 1086827 1242088 1534344 1863132 2045792 2173654 2484176 3068688 3260481 3726264 4347308 4968352 6137376 6520962 7452528 8694616 13041924 14905056 17389232 26083848 34778464 52167696 104335392