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104206624 = 2531731439
BaseRepresentation
bin1100011011000…
…01000100100000
321021002020121121
412031201010200
5203134102444
614201302024
72403512254
oct615410440
9237066547
10104206624
1153904a85
122aa94914
1318787432
14dba8264
159236084
hex6361120

104206624 has 48 divisors (see below), whose sum is σ = 214824960. Its totient is φ = 49697280.

The previous prime is 104206603. The next prime is 104206631. The reversal of 104206624 is 426602401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71697 + ... + 73135.

It is an arithmetic number, because the mean of its divisors is an integer number (4475520).

Almost surely, 2104206624 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 104206624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107412480).

104206624 is an abundant number, since it is smaller than the sum of its proper divisors (110618336).

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

104206624 is a wasteful number, since it uses less digits than its factorization.

104206624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553 (or 1545 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 104206624 is about 10208.1645754758. The cubic root of 104206624 is about 470.5781688141.

The spelling of 104206624 in words is "one hundred four million, two hundred six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 62 73 124 146 248 292 496 584 992 1168 1439 2263 2336 2878 4526 5756 9052 11512 18104 23024 36208 44609 46048 72416 89218 105047 178436 210094 356872 420188 713744 840376 1427488 1680752 3256457 3361504 6512914 13025828 26051656 52103312 104206624