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112950720 = 2633517769
BaseRepresentation
bin1101011101101…
…11110111000000
321212112111021000
412232313313000
5212403410340
615112532000
72541031251
oct656676700
9255474230
10112950720
1158837603
12319b1000
131a52945c
1411002b28
159db1d30
hex6bb7dc0

112950720 has 224 divisors, whose sum is σ = 422452800. Its totient is φ = 28311552.

The previous prime is 112950713. The next prime is 112950731. The reversal of 112950720 is 27059211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146496 + ... + 147264.

It is an arithmetic number, because the mean of its divisors is an integer number (1885950).

Almost surely, 2112950720 is an apocalyptic number.

112950720 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 112950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211226400).

112950720 is an abundant number, since it is smaller than the sum of its proper divisors (309502080).

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

112950720 is a wasteful number, since it uses less digits than its factorization.

112950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 112950720 is about 10627.8276237432. The cubic root of 112950720 is about 483.3885226978.

The spelling of 112950720 in words is "one hundred twelve million, nine hundred fifty thousand, seven hundred twenty".