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104319432 = 23327229569
BaseRepresentation
bin1100011011111…
…00100111001000
321021021222100200
412031330213020
5203201210212
614203532200
72404462200
oct615744710
9237258320
10104319432
1153981808
122ab2a060
13187c6899
14dbd7400
1592596dc
hex637c9c8

104319432 has 72 divisors (see below), whose sum is σ = 328670550. Its totient is φ = 29804544.

The previous prime is 104319403. The next prime is 104319473. The reversal of 104319432 is 234913401.

It can be written as a sum of positive squares in only one way, i.e., 87721956 + 16597476 = 9366^2 + 4074^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 104319396 and 104319405.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11257 + ... + 18312.

Almost surely, 2104319432 is an apocalyptic number.

104319432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104319432 is an abundant number, since it is smaller than the sum of its proper divisors (224351118).

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

104319432 is a wasteful number, since it uses less digits than its factorization.

104319432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29595 (or 29581 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 104319432 is about 10213.6884620591. The cubic root of 104319432 is about 470.7479143830.

The spelling of 104319432 in words is "one hundred four million, three hundred nineteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 29569 59138 88707 118276 177414 206983 236552 266121 354828 413966 532242 620949 709656 827932 1064484 1241898 1448881 1655864 1862847 2128968 2483796 2897762 3725694 4346643 4967592 5795524 7451388 8693286 11591048 13039929 14902776 17386572 26079858 34773144 52159716 104319432