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104000652 = 22337137567
BaseRepresentation
bin1100011001011…
…10110010001100
321020200210002000
412030232302030
5203111010102
614153032300
72401663620
oct614566214
9236623060
10104000652
1153784258
122a9b5690
1318714762
14db53180
1591e501c
hex632ec8c

104000652 has 48 divisors (see below), whose sum is σ = 308152320. Its totient is φ = 29714256.

The previous prime is 104000651. The next prime is 104000693. The reversal of 104000652 is 256000401.

It is a happy number.

104000652 is a `hidden beast` number, since 10 + 4 + 0 + 0 + 0 + 652 = 666.

It is a super-2 number, since 2×1040006522 = 21632271232850208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104000651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68028 + ... + 69539.

It is an arithmetic number, because the mean of its divisors is an integer number (6419840).

Almost surely, 2104000652 is an apocalyptic number.

104000652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104000652 is an abundant number, since it is smaller than the sum of its proper divisors (204151668).

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

104000652 is a wasteful number, since it uses less digits than its factorization.

104000652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137587 (or 137579 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 104000652 is about 10198.0709940655. The cubic root of 104000652 is about 470.2679202794.

The spelling of 104000652 in words is "one hundred four million, six hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 137567 275134 412701 550268 825402 962969 1238103 1650804 1925938 2476206 2888907 3714309 3851876 4952412 5777814 7428618 8666721 11555628 14857236 17333442 26000163 34666884 52000326 104000652