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10339392 = 26373157
BaseRepresentation
bin100111011100…
…010001000000
3201110021222110
4213130101000
510121330032
61005335320
7153612000
oct47342100
921407873
1010339392
115922158
123567540
1321b01ab
141532000
15d937cc
hex9dc440

10339392 has 112 divisors (see below), whose sum is σ = 32105600. Its totient is φ = 2935296.

The previous prime is 10339369. The next prime is 10339411. The reversal of 10339392 is 29393301.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65778 + ... + 65934.

Almost surely, 210339392 is an apocalyptic number.

10339392 is a gapful number since it is divisible by the number (12) 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 10339392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052800).

10339392 is an abundant number, since it is smaller than the sum of its proper divisors (21766208).

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

10339392 is an equidigital number, since it uses as much as digits as its factorization.

10339392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 4374, while the sum is 30.

The square root of 10339392 is about 3215.4924972701. The cubic root of 10339392 is about 217.8537301215.

It can be divided in two parts, 10339 and 392, that added together give a triangular number (10731 = T146).

The spelling of 10339392 in words is "ten million, three hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 157 168 192 196 224 294 314 336 343 392 448 471 588 628 672 686 784 942 1029 1099 1176 1256 1344 1372 1568 1884 2058 2198 2352 2512 2744 3136 3297 3768 4116 4396 4704 5024 5488 6594 7536 7693 8232 8792 9408 10048 10976 13188 15072 15386 16464 17584 21952 23079 26376 30144 30772 32928 35168 46158 52752 53851 61544 65856 70336 92316 105504 107702 123088 161553 184632 211008 215404 246176 323106 369264 430808 492352 646212 738528 861616 1292424 1477056 1723232 2584848 3446464 5169696 10339392