Search a number
-
+
112613792 = 2537227419
BaseRepresentation
bin1101011011001…
…01100110100000
321211220101002012
412231211212200
5212312120132
615101412052
72535126044
oct655454640
9254811065
10112613792
1158627455
123186a028
131a43bca5
1410d56024
159d470b2
hex6b659a0

112613792 has 48 divisors (see below), whose sum is σ = 229249440. Its totient is φ = 54413568.

The previous prime is 112613783. The next prime is 112613803. The reversal of 112613792 is 297316211.

It is a super-2 number, since 2×1126137922 = 25363732297238528, which contains 22 as substring.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 268559 + ... + 268977.

It is an arithmetic number, because the mean of its divisors is an integer number (4776030).

Almost surely, 2112613792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112613792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114624720).

112613792 is an abundant number, since it is smaller than the sum of its proper divisors (116635648).

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

112613792 is a wasteful number, since it uses less digits than its factorization.

112613792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its digits is 4536, while the sum is 32.

The square root of 112613792 is about 10611.9645683540. The cubic root of 112613792 is about 482.9074003719.

The spelling of 112613792 in words is "one hundred twelve million, six hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 74 148 227 296 419 454 592 838 908 1184 1676 1816 3352 3632 6704 7264 8399 13408 15503 16798 31006 33596 62012 67192 95113 124024 134384 190226 248048 268768 380452 496096 760904 1521808 3043616 3519181 7038362 14076724 28153448 56306896 112613792