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10932096 = 2737383
BaseRepresentation
bin101001101100…
…111110000000
3202120102000110
4221230332000
510244311341
61030151320
7161631000
oct51547600
922512013
1010932096
11619749a
1237b2540
132359bc6
141648000
15e5e216
hexa6cf80

10932096 has 128 divisors (see below), whose sum is σ = 34272000. Its totient is φ = 3085824.

The previous prime is 10932073. The next prime is 10932109. The reversal of 10932096 is 69023901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131671 + ... + 131753.

It is an arithmetic number, because the mean of its divisors is an integer number (267750).

Almost surely, 210932096 is an apocalyptic number.

10932096 is a gapful number since it is divisible by the number (16) 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 10932096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17136000).

10932096 is an abundant number, since it is smaller than the sum of its proper divisors (23339904).

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

10932096 is an frugal number, since it uses more digits than its factorization.

10932096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 10932096 is about 3306.3720298841. The cubic root of 10932096 is about 221.9394364457.

Adding to 10932096 its reverse (69023901), we get a palindrome (79955997).

The spelling of 10932096 in words is "ten million, nine hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 83 84 96 98 112 128 147 166 168 192 196 224 249 294 332 336 343 384 392 448 498 581 588 664 672 686 784 896 996 1029 1162 1176 1328 1344 1372 1568 1743 1992 2058 2324 2352 2656 2688 2744 3136 3486 3984 4067 4116 4648 4704 5312 5488 6272 6972 7968 8134 8232 9296 9408 10624 10976 12201 13944 15936 16268 16464 18592 18816 21952 24402 27888 28469 31872 32536 32928 37184 43904 48804 55776 56938 65072 65856 74368 85407 97608 111552 113876 130144 131712 170814 195216 223104 227752 260288 341628 390432 455504 520576 683256 780864 911008 1366512 1561728 1822016 2733024 3644032 5466048 10932096