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104595712 = 281353593
BaseRepresentation
bin1100011110000…
…00000100000000
321021211000100021
412033000010000
5203234030322
614213503224
72410022524
oct617000400
9237730307
10104595712
1154050341
122b041b14
1318892570
14dc69d84
1592b14c7
hex63c0100

104595712 has 72 divisors (see below), whose sum is σ = 229471704. Its totient is φ = 47284224.

The previous prime is 104595677. The next prime is 104595749. The reversal of 104595712 is 217595401.

It can be written as a sum of positive squares in 4 ways, for example, as 13660416 + 90935296 = 3696^2 + 9536^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 176088 + ... + 176680.

It is an arithmetic number, because the mean of its divisors is an integer number (3187107).

Almost surely, 2104595712 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 104595712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114735852).

104595712 is an abundant number, since it is smaller than the sum of its proper divisors (124875992).

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

104595712 is an equidigital number, since it uses as much as digits as its factorization.

104595712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 34.

The square root of 104595712 is about 10227.2045056310. The cubic root of 104595712 is about 471.1631249350.

The spelling of 104595712 in words is "one hundred four million, five hundred ninety-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 53 64 104 106 128 208 212 256 416 424 593 689 832 848 1186 1378 1664 1696 2372 2756 3328 3392 4744 5512 6784 7709 9488 11024 13568 15418 18976 22048 30836 31429 37952 44096 61672 62858 75904 88192 123344 125716 151808 176384 246688 251432 408577 493376 502864 817154 986752 1005728 1634308 1973504 2011456 3268616 4022912 6537232 8045824 13074464 26148928 52297856 104595712