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114165960 = 23356011583
BaseRepresentation
bin1101100111000…
…00100011001000
321221211020020220
412303200203020
5213211302320
615154550040
72554252236
oct663404310
9257736226
10114165960
1159497637
1232298320
131a86362c
141123b956
15a051e40
hex6ce08c8

114165960 has 64 divisors (see below), whose sum is σ = 343284480. Its totient is φ = 30374400.

The previous prime is 114165929. The next prime is 114165967. The reversal of 114165960 is 69561411.

It is not an unprimeable number, because it can be changed into a prime (114165967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71329 + ... + 72911.

It is an arithmetic number, because the mean of its divisors is an integer number (5363820).

Almost surely, 2114165960 is an apocalyptic number.

114165960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114165960 is an abundant number, since it is smaller than the sum of its proper divisors (229118520).

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

114165960 is a wasteful number, since it uses less digits than its factorization.

114165960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 114165960 is about 10684.8472146306. The cubic root of 114165960 is about 485.1159392645.

The spelling of 114165960 in words is "one hundred fourteen million, one hundred sixty-five thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 601 1202 1583 1803 2404 3005 3166 3606 4749 4808 6010 6332 7212 7915 9015 9498 12020 12664 14424 15830 18030 18996 23745 24040 31660 36060 37992 47490 63320 72120 94980 189960 951383 1902766 2854149 3805532 4756915 5708298 7611064 9513830 11416596 14270745 19027660 22833192 28541490 38055320 57082980 114165960