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112053120 = 2735173433
BaseRepresentation
bin1101010110111…
…00101110000000
321210211212222120
412223130232000
5212141144440
615041404240
72530302324
oct653345600
9253755876
10112053120
1158284193
1231639680
131a2a3a2a
1410c4b984
159c85dd0
hex6adcb80

112053120 has 128 divisors (see below), whose sum is σ = 378289440. Its totient is φ = 28114944.

The previous prime is 112053113. The next prime is 112053121. The reversal of 112053120 is 21350211.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112053120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112053121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30924 + ... + 34356.

Almost surely, 2112053120 is an apocalyptic number.

112053120 is a gapful number since it is divisible by the number (10) 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 112053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189144720).

112053120 is an abundant number, since it is smaller than the sum of its proper divisors (266236320).

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

112053120 is a wasteful number, since it uses less digits than its factorization.

112053120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3460 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 112053120 is about 10585.5146308529. The cubic root of 112053120 is about 482.1046471934.

The spelling of 112053120 in words is "one hundred twelve million, fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 272 320 340 384 408 480 510 544 640 680 816 960 1020 1088 1360 1632 1920 2040 2176 2720 3264 3433 4080 5440 6528 6866 8160 10299 10880 13732 16320 17165 20598 27464 32640 34330 41196 51495 54928 58361 68660 82392 102990 109856 116722 137320 164784 175083 205980 219712 233444 274640 291805 329568 350166 411960 439424 466888 549280 583610 659136 700332 823920 875415 933776 1098560 1167220 1318272 1400664 1647840 1750830 1867552 2197120 2334440 2801328 3295680 3501660 3735104 4668880 5602656 6591360 7003320 7470208 9337760 11205312 14006640 18675520 22410624 28013280 37351040 56026560 112053120