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112945800 = 2335211109157
BaseRepresentation
bin1101011101101…
…10101010001000
321212112020111210
412232312222020
5212403231200
615112453120
72541011022
oct656665210
9255466453
10112945800
1158833940
12319aa1a0
131a527146
1411001012
159db0650
hex6bb6a88

112945800 has 192 divisors, whose sum is σ = 387921600. Its totient is φ = 26956800.

The previous prime is 112945757. The next prime is 112945817. The reversal of 112945800 is 8549211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719322 + ... + 719478.

It is an arithmetic number, because the mean of its divisors is an integer number (2020425).

Almost surely, 2112945800 is an apocalyptic number.

112945800 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 112945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193960800).

112945800 is an abundant number, since it is smaller than the sum of its proper divisors (274975800).

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

112945800 is a wasteful number, since it uses less digits than its factorization.

112945800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 112945800 is about 10627.5961534112. The cubic root of 112945800 is about 483.3815039848.

The spelling of 112945800 in words is "one hundred twelve million, nine hundred forty-five thousand, eight hundred".