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104129536 = 210773199
BaseRepresentation
bin1100011010011…
…10010000000000
321020221022212111
412031032100000
5203124121121
614155505104
72403041440
oct615162000
9236838774
10104129536
1153862075
122aa58194
131875b314
14db88120
15921d2e1
hex634e400

104129536 has 88 divisors (see below), whose sum is σ = 242364800. Its totient is φ = 43794432.

The previous prime is 104129503. The next prime is 104129537. The reversal of 104129536 is 635921401.

It is a junction number, because it is equal to n+sod(n) for n = 104129498 and 104129507.

It is not an unprimeable number, because it can be changed into a prime (104129537) 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, 523165 + ... + 523363.

Almost surely, 2104129536 is an apocalyptic number.

104129536 is a gapful number since it is divisible by the number (16) 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 104129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121182400).

104129536 is an abundant number, since it is smaller than the sum of its proper divisors (138235264).

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

104129536 is an equidigital number, since it uses as much as digits as its factorization.

104129536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 104129536 is about 10204.3880757251. The cubic root of 104129536 is about 470.4621017244.

The spelling of 104129536 in words is "one hundred four million, one hundred twenty-nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 73 112 128 146 199 224 256 292 398 448 511 512 584 796 896 1022 1024 1168 1393 1592 1792 2044 2336 2786 3184 3584 4088 4672 5572 6368 7168 8176 9344 11144 12736 14527 16352 18688 22288 25472 29054 32704 37376 44576 50944 58108 65408 74752 89152 101689 101888 116216 130816 178304 203378 203776 232432 261632 356608 406756 464864 523264 713216 813512 929728 1426432 1627024 1859456 3254048 3718912 6508096 7437824 13016192 14875648 26032384 52064768 104129536