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114120432 = 24323721419
BaseRepresentation
bin1101100110101…
…01011011110000
321221201220210200
412303111123300
5213203323212
615153555200
72554002426
oct663253360
9257656720
10114120432
1159466408
1232275b00
131a8489aa
1411229116
15a0436dc
hex6cd56f0

114120432 has 60 divisors (see below), whose sum is σ = 328025880. Its totient is φ = 37010304.

The previous prime is 114120427. The next prime is 114120437. The reversal of 114120432 is 234021411.

114120432 is a `hidden beast` number, since 114 + 120 + 432 = 666.

It is an interprime number because it is at equal distance from previous prime (114120427) and next prime (114120437).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114120437) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5382 + ... + 16037.

It is an arithmetic number, because the mean of its divisors is an integer number (5467098).

Almost surely, 2114120432 is an apocalyptic number.

114120432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114120432 is an abundant number, since it is smaller than the sum of its proper divisors (213905448).

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

114120432 is a wasteful number, since it uses less digits than its factorization.

114120432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21470 (or 21461 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114120432 is about 10682.7165084542. The cubic root of 114120432 is about 485.0514445731.

Adding to 114120432 its reverse (234021411), we get a palindrome (348141843).

The spelling of 114120432 in words is "one hundred fourteen million, one hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 21419 42838 64257 85676 128514 171352 192771 257028 342704 385542 514056 771084 792503 1028112 1542168 1585006 2377509 3084336 3170012 4755018 6340024 7132527 9510036 12680048 14265054 19020072 28530108 38040144 57060216 114120432