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104775424 = 2813191657
BaseRepresentation
bin1100011111010…
…11111100000000
321022011010212021
412033223330000
5203310303144
614221411224
72411401465
oct617537400
9238133767
10104775424
1154163366
122b109b14
13189262c0
14dcb566c
1592e9884
hex63ebf00

104775424 has 72 divisors (see below), whose sum is σ = 237226640. Its totient is φ = 45785088.

The previous prime is 104775421. The next prime is 104775431. The reversal of 104775424 is 424577401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 104775424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104775421) 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, 62404 + ... + 64060.

Almost surely, 2104775424 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 104775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118613320).

104775424 is an abundant number, since it is smaller than the sum of its proper divisors (132451216).

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

104775424 is a wasteful number, since it uses less digits than its factorization.

104775424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 34.

The square root of 104775424 is about 10235.9867135514. The cubic root of 104775424 is about 471.4328148291.

The spelling of 104775424 in words is "one hundred four million, seven hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 208 247 256 304 416 494 608 832 988 1216 1657 1664 1976 2432 3314 3328 3952 4864 6628 7904 13256 15808 21541 26512 31483 31616 43082 53024 62966 63232 86164 106048 125932 172328 212096 251864 344656 409279 424192 503728 689312 818558 1007456 1378624 1637116 2014912 2757248 3274232 4029824 5514496 6548464 8059648 13096928 26193856 52387712 104775424