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114039972 = 22328935593
BaseRepresentation
bin1101100110000…
…01110010100100
321221120211102200
412303001302210
5213143234342
615152134500
72553216024
oct663016244
9257524380
10114039972
1159410a12
1232237430
131a81b197
1411207a84
15a02994c
hex6cc1ca4

114039972 has 36 divisors (see below), whose sum is σ = 291514860. Its totient is φ = 37585152.

The previous prime is 114039967. The next prime is 114040013. The reversal of 114039972 is 279930411.

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 101123136 = 3594^2 + 10056^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14593 + ... + 21000.

It is an arithmetic number, because the mean of its divisors is an integer number (8097635).

Almost surely, 2114039972 is an apocalyptic number.

114039972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114039972 is an abundant number, since it is smaller than the sum of its proper divisors (177474888).

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

114039972 is a wasteful number, since it uses less digits than its factorization.

114039972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35692 (or 35687 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 114039972 is about 10678.9499483798. The cubic root of 114039972 is about 484.9374234637.

The spelling of 114039972 in words is "one hundred fourteen million, thirty-nine thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 35593 71186 106779 142372 213558 320337 427116 640674 1281348 3167777 6335554 9503331 12671108 19006662 28509993 38013324 57019986 114039972