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112180416 = 2631734369
BaseRepresentation
bin1101010111110…
…11110011000000
321211002100121020
412223323303000
5212204233131
615044225440
72531342415
oct653736300
9254070536
10112180416
1158360897
123169b280
131a31995a
1410c8210c
159cad996
hex6afbcc0

112180416 has 56 divisors (see below), whose sum is σ = 314279280. Its totient is φ = 35192832.

The previous prime is 112180391. The next prime is 112180423. The reversal of 112180416 is 614081211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13921 + ... + 20448.

It is an arithmetic number, because the mean of its divisors is an integer number (5612130).

Almost surely, 2112180416 is an apocalyptic number.

112180416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

112180416 is an abundant number, since it is smaller than the sum of its proper divisors (202098864).

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

112180416 is a wasteful number, since it uses less digits than its factorization.

112180416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34401 (or 34391 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 112180416 is about 10591.5256691376. The cubic root of 112180416 is about 482.2871403073.

The spelling of 112180416 in words is "one hundred twelve million, one hundred eighty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 34369 68738 103107 137476 206214 274952 412428 549904 584273 824856 1099808 1168546 1649712 1752819 2199616 2337092 3299424 3505638 4674184 6598848 7011276 9348368 14022552 18696736 28045104 37393472 56090208 112180416