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114371136 = 2633112547
BaseRepresentation
bin1101101000100…
…10101001000000
321222012122201000
412310102221000
5213234334021
615203212000
72556065355
oct664225100
9258178630
10114371136
1159617800
1232377000
131a905b39
141129262c
15a092b26
hex6d12a40

114371136 has 168 divisors, whose sum is σ = 370250720. Its totient is φ = 34594560.

The previous prime is 114371113. The next prime is 114371137. The reversal of 114371136 is 631173411.

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

It is not an unprimeable number, because it can be changed into a prime (114371137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208815 + ... + 209361.

Almost surely, 2114371136 is an apocalyptic number.

114371136 is a gapful number since it is divisible by the number (16) 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 114371136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185125360).

114371136 is an abundant number, since it is smaller than the sum of its proper divisors (255879584).

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

114371136 is a wasteful number, since it uses less digits than its factorization.

114371136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 563 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 114371136 is about 10694.4441650794. Note that the first 3 decimals coincide. The cubic root of 114371136 is about 485.4063777942.

The spelling of 114371136 in words is "one hundred fourteen million, three hundred seventy-one thousand, one hundred thirty-six".