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104167424 = 211192677
BaseRepresentation
bin1100011010101…
…11100000000000
321021000020211202
412031113200000
5203131324144
614200400332
72403260054
oct615274000
9237006752
10104167424
1153888589
122aa760a8
131877263a
14db97c64
15922964e
hex6357800

104167424 has 48 divisors (see below), whose sum is σ = 219328200. Its totient is φ = 49324032.

The previous prime is 104167397. The next prime is 104167447. The reversal of 104167424 is 424761401.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37574 + ... + 40250.

Almost surely, 2104167424 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 104167424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109664100).

104167424 is an abundant number, since it is smaller than the sum of its proper divisors (115160776).

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

104167424 is an equidigital number, since it uses as much as digits as its factorization.

104167424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 104167424 is about 10206.2443631338. The cubic root of 104167424 is about 470.5191547225.

The spelling of 104167424 in words is "one hundred four million, one hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 256 304 512 608 1024 1216 2048 2432 2677 4864 5354 9728 10708 19456 21416 38912 42832 50863 85664 101726 171328 203452 342656 406904 685312 813808 1370624 1627616 2741248 3255232 5482496 6510464 13020928 26041856 52083712 104167424