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112916480 = 211511027
BaseRepresentation
bin1101011101011…
…11100000000000
321212110202021212
412232233200000
5212401311410
615112105252
72540526365
oct656574000
9255422255
10112916480
1158813906
1231995228
131a5169b1
1410dd446c
159da6b05
hex6baf800

112916480 has 48 divisors (see below), whose sum is σ = 270957960. Its totient is φ = 45162496.

The previous prime is 112916471. The next prime is 112916491. The reversal of 112916480 is 84619211.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4727 + ... + 15753.

Almost surely, 2112916480 is an apocalyptic number.

112916480 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 112916480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135478980).

112916480 is an abundant number, since it is smaller than the sum of its proper divisors (158041480).

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

112916480 is an equidigital number, since it uses as much as digits as its factorization.

112916480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11054 (or 11034 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 32.

The square root of 112916480 is about 10626.2166362257. The cubic root of 112916480 is about 483.3396727931.

It can be divided in two parts, 11291 and 6480, that added together give a palindrome (17771).

The spelling of 112916480 in words is "one hundred twelve million, nine hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 5120 10240 11027 22054 44108 55135 88216 110270 176432 220540 352864 441080 705728 882160 1411456 1764320 2822912 3528640 5645824 7057280 11291648 14114560 22583296 28229120 56458240 112916480