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BaseRepresentation
bin1101011001111…
…11011010111000
321211121102112220
412230333122320
5212242114100
615054204040
72533605066
oct654773270
9254542486
10112457400
115852aa00
12317b3620
131a3b5a53
1410d15036
159d15aa0
hex6b3f6b8

112457400 has 144 divisors (see below), whose sum is σ = 383439000. Its totient is φ = 27244800.

The previous prime is 112457399. The next prime is 112457407. The reversal of 112457400 is 4754211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112457407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 71826 + ... + 73374.

Almost surely, 2112457400 is an apocalyptic number.

112457400 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 112457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191719500).

112457400 is an abundant number, since it is smaller than the sum of its proper divisors (270981600).

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

112457400 is a wasteful number, since it uses less digits than its factorization.

112457400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 112457400 is about 10604.5933443956. The cubic root of 112457400 is about 482.6837515023.

The spelling of 112457400 in words is "one hundred twelve million, four hundred fifty-seven thousand, four hundred".