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112273536 = 273793701
BaseRepresentation
bin1101011000100…
…10100010000000
321211021002100010
412230102202000
5212220223121
615050224520
72532211044
oct654224200
9254232303
10112273536
1158414851
1231725140
131a35015b
1410ca8024
159ccb376
hex6b12880

112273536 has 64 divisors (see below), whose sum is σ = 302083200. Its totient is φ = 36940800.

The previous prime is 112273531. The next prime is 112273541. The reversal of 112273536 is 635372211.

It is an interprime number because it is at equal distance from previous prime (112273531) and next prime (112273541).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (112273531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28486 + ... + 32186.

It is an arithmetic number, because the mean of its divisors is an integer number (4720050).

Almost surely, 2112273536 is an apocalyptic number.

112273536 is a gapful number since it is divisible by the number (16) 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 112273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151041600).

112273536 is an abundant number, since it is smaller than the sum of its proper divisors (189809664).

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

112273536 is an equidigital number, since it uses as much as digits as its factorization.

112273536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3785 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 112273536 is about 10595.9207245053. The cubic root of 112273536 is about 482.4205508710.

The spelling of 112273536 in words is "one hundred twelve million, two hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3701 3792 5056 7402 7584 10112 11103 14804 15168 22206 29608 30336 44412 59216 88824 118432 177648 236864 292379 355296 473728 584758 710592 877137 1169516 1421184 1754274 2339032 3508548 4678064 7017096 9356128 14034192 18712256 28068384 37424512 56136768 112273536