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112080992 = 2537181523
BaseRepresentation
bin1101010111000…
…11100001100000
321210220022012212
412223203201200
5212143042432
615042141252
72530446512
oct653434140
9253808185
10112080992
11582a3121
1231651828
131a2b361a
1410c57bb2
159c8e2b2
hex6ae3860

112080992 has 48 divisors (see below), whose sum is σ = 228310992. Its totient is φ = 54120960.

The previous prime is 112080977. The next prime is 112081007. The reversal of 112080992 is 299080211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112080977) and next prime (112081007).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 214043 + ... + 214565.

It is an arithmetic number, because the mean of its divisors is an integer number (4756479).

Almost surely, 2112080992 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 112080992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114155496).

112080992 is an abundant number, since it is smaller than the sum of its proper divisors (116230000).

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

112080992 is a wasteful number, since it uses less digits than its factorization.

112080992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 112080992 is about 10586.8310650544. The cubic root of 112080992 is about 482.1446166494.

The spelling of 112080992 in words is "one hundred twelve million, eighty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 37 74 148 181 296 362 523 592 724 1046 1184 1448 2092 2896 4184 5792 6697 8368 13394 16736 19351 26788 38702 53576 77404 94663 107152 154808 189326 214304 309616 378652 619232 757304 1514608 3029216 3502531 7005062 14010124 28020248 56040496 112080992