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114015492 = 22337114869
BaseRepresentation
bin1101100101110…
…11110100000100
321221112120212000
412302323310010
5213141443432
615151425300
72553054453
oct662736404
9257476760
10114015492
11593a4588
1232225230
131a80ccb6
14111dcb9a
15a02257c
hex6cbbd04

114015492 has 48 divisors (see below), whose sum is σ = 299779200. Its totient is φ = 37467360.

The previous prime is 114015479. The next prime is 114015493. The reversal of 114015492 is 294510411.

114015492 is a `hidden beast` number, since 114 + 0 + 1 + 549 + 2 = 666.

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 (114015493) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234 + ... + 15102.

It is an arithmetic number, because the mean of its divisors is an integer number (6245400).

Almost surely, 2114015492 is an apocalyptic number.

114015492 is a gapful number since it is divisible by the number (12) 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 114015492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149889600).

114015492 is an abundant number, since it is smaller than the sum of its proper divisors (185763708).

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

114015492 is a wasteful number, since it uses less digits than its factorization.

114015492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14953 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 114015492 is about 10677.8037067554. The cubic root of 114015492 is about 484.9027218368.

The spelling of 114015492 in words is "one hundred fourteen million, fifteen thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 71 108 142 213 284 426 639 852 1278 1917 2556 3834 7668 14869 29738 44607 59476 89214 133821 178428 267642 401463 535284 802926 1055699 1605852 2111398 3167097 4222796 6334194 9501291 12668388 19002582 28503873 38005164 57007746 114015492