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10934112 = 253753307
BaseRepresentation
bin101001101101…
…011101100000
3202120111210010
4221231131200
510244342422
61030204520
7161636610
oct51553540
922514703
1010934112
116198a62
1237b3740
13235aab7
141648a40
15e5eb0c
hexa6d760

10934112 has 96 divisors (see below), whose sum is σ = 33530112. Its totient is φ = 3055104.

The previous prime is 10934093. The next prime is 10934113. The reversal of 10934112 is 21143901.

10934112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10934113) 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, 35463 + ... + 35769.

It is an arithmetic number, because the mean of its divisors is an integer number (349272).

Almost surely, 210934112 is an apocalyptic number.

10934112 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 10934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16765056).

10934112 is an abundant number, since it is smaller than the sum of its proper divisors (22596000).

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

10934112 is a wasteful number, since it uses less digits than its factorization.

10934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10934112 is about 3306.6768817047. The cubic root of 10934112 is about 221.9530783067.

The spelling of 10934112 in words is "ten million, nine hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 53 56 84 96 106 112 159 168 212 224 307 318 336 371 424 614 636 672 742 848 921 1113 1228 1272 1484 1696 1842 2149 2226 2456 2544 2968 3684 4298 4452 4912 5088 5936 6447 7368 8596 8904 9824 11872 12894 14736 16271 17192 17808 25788 29472 32542 34384 35616 48813 51576 65084 68768 97626 103152 113897 130168 195252 206304 227794 260336 341691 390504 455588 520672 683382 781008 911176 1366764 1562016 1822352 2733528 3644704 5467056 10934112