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112404160 = 2651122903
BaseRepresentation
bin1101011001100…
…10011011000000
321211111201112001
412230302123000
5212233413120
615053113344
72533263631
oct654623300
9254451461
10112404160
11584a3a00
1231788854
131a39774b
1410cdd888
159d04e0a
hex6b326c0

112404160 has 84 divisors (see below), whose sum is σ = 294308784. Its totient is φ = 40860160.

The previous prime is 112404137. The next prime is 112404163. The reversal of 112404160 is 61404211.

It is not an unprimeable number, because it can be changed into a prime (112404163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37269 + ... + 40171.

It is an arithmetic number, because the mean of its divisors is an integer number (3503676).

Almost surely, 2112404160 is an apocalyptic number.

112404160 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 112404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147154392).

112404160 is an abundant number, since it is smaller than the sum of its proper divisors (181904624).

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

112404160 is a wasteful number, since it uses less digits than its factorization.

112404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2921 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 112404160 is about 10602.0828142399. The cubic root of 112404160 is about 482.6075681672.

Adding to 112404160 its reverse (61404211), we get a palindrome (173808371).

It can be divided in two parts, 11240 and 4160, that added together give a triangular number (15400 = T175).

The spelling of 112404160 in words is "one hundred twelve million, four hundred four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 160 176 220 242 320 352 440 484 605 704 880 968 1210 1760 1936 2420 2903 3520 3872 4840 5806 7744 9680 11612 14515 19360 23224 29030 31933 38720 46448 58060 63866 92896 116120 127732 159665 185792 232240 255464 319330 351263 464480 510928 638660 702526 928960 1021856 1277320 1405052 1756315 2043712 2554640 2810104 3512630 5109280 5620208 7025260 10218560 11240416 14050520 22480832 28101040 56202080 112404160