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114329520 = 24325158791
BaseRepresentation
bin1101101000010…
…00011110110000
321222010112121200
412310020132300
5213232021040
615202251200
72555533134
oct664103660
9258115550
10114329520
1159599508
1232356b00
131a8bcc06
14112813c4
15a085630
hex6d087b0

114329520 has 60 divisors (see below), whose sum is σ = 383959056. Its totient is φ = 30487680.

The previous prime is 114329491. The next prime is 114329543. The reversal of 114329520 is 25923411.

114329520 is a `hidden beast` number, since 114 + 3 + 29 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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, 78676 + ... + 80115.

Almost surely, 2114329520 is an apocalyptic number.

114329520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114329520 is an abundant number, since it is smaller than the sum of its proper divisors (269629536).

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

114329520 is a wasteful number, since it uses less digits than its factorization.

114329520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158810 (or 158801 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 114329520 is about 10692.4983048865. The cubic root of 114329520 is about 485.3474960310.

The spelling of 114329520 in words is "one hundred fourteen million, three hundred twenty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 158791 317582 476373 635164 793955 952746 1270328 1429119 1587910 1905492 2381865 2540656 2858238 3175820 3810984 4763730 5716476 6351640 7145595 7621968 9527460 11432952 12703280 14291190 19054920 22865904 28582380 38109840 57164760 114329520