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107274240 = 21333597
BaseRepresentation
bin1100110010011…
…10000000000000
321110212002121000
412121032000000
5204430233430
614351132000
72441546613
oct631160000
9243762530
10107274240
115560a7a7
122bb14000
13192bc7a8
141036617a
15963ee60
hex664e000

107274240 has 224 divisors, whose sum is σ = 385328160. Its totient is φ = 28311552.

The previous prime is 107274217. The next prime is 107274259. The reversal of 107274240 is 42472701.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 1105872 + ... + 1105968.

It is an arithmetic number, because the mean of its divisors is an integer number (1720215).

Almost surely, 2107274240 is an apocalyptic number.

107274240 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 107274240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192664080).

107274240 is an abundant number, since it is smaller than the sum of its proper divisors (278053920).

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

107274240 is an frugal number, since it uses more digits than its factorization.

107274240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 107274240 is about 10357.3278407126. The cubic root of 107274240 is about 475.1511836396.

The spelling of 107274240 in words is "one hundred seven million, two hundred seventy-four thousand, two hundred forty".