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104359864 = 23729179359
BaseRepresentation
bin1100011100001…
…10011110111000
321021101000211011
412032012132320
5203204003424
614204443304
72405021110
oct616063670
9237330734
10104359864
11539aa124
122ab49534
131880c0cb
14dc08040
159266694
hex63867b8

104359864 has 64 divisors (see below), whose sum is σ = 233280000. Its totient is φ = 42822528.

The previous prime is 104359859. The next prime is 104359867. The reversal of 104359864 is 468953401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104359867) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290517 + ... + 290875.

It is an arithmetic number, because the mean of its divisors is an integer number (3645000).

Almost surely, 2104359864 is an apocalyptic number.

104359864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104359864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116640000).

104359864 is an abundant number, since it is smaller than the sum of its proper divisors (128920136).

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

104359864 is a wasteful number, since it uses less digits than its factorization.

104359864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 104359864 is about 10215.6675748577. The cubic root of 104359864 is about 470.8087238310.

The spelling of 104359864 in words is "one hundred four million, three hundred fifty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 179 203 232 358 359 406 716 718 812 1253 1432 1436 1624 2506 2513 2872 5012 5026 5191 10024 10052 10382 10411 20104 20764 20822 36337 41528 41644 64261 72674 72877 83288 128522 145348 145754 257044 290696 291508 449827 514088 583016 899654 1799308 1863569 3598616 3727138 7454276 13044983 14908552 26089966 52179932 104359864