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14313960 = 2332539761
BaseRepresentation
bin110110100110…
…100111101000
3222221020001200
4312212213220
512131021320
61230444200
7232444443
oct66464750
928836050
1014313960
118097321
124963660
132c722cb
141c8865a
1513cb290
hexda69e8

14313960 has 48 divisors (see below), whose sum is σ = 46521540. Its totient is φ = 3816960.

The previous prime is 14313953. The next prime is 14313967. The reversal of 14313960 is 6931341.

It is an interprime number because it is at equal distance from previous prime (14313953) and next prime (14313967).

It can be written as a sum of positive squares in 2 ways, for example, as 12916836 + 1397124 = 3594^2 + 1182^2 .

It is not an unprimeable number, because it can be changed into a prime (14313967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19521 + ... + 20240.

Almost surely, 214313960 is an apocalyptic number.

14313960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14313960 is an abundant number, since it is smaller than the sum of its proper divisors (32207580).

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

14313960 is a wasteful number, since it uses less digits than its factorization.

14313960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39778 (or 39771 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 14313960 is about 3783.3794417161. The cubic root of 14313960 is about 242.8025627881.

The spelling of 14313960 in words is "fourteen million, three hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 39761 79522 119283 159044 198805 238566 318088 357849 397610 477132 596415 715698 795220 954264 1192830 1431396 1590440 1789245 2385660 2862792 3578490 4771320 7156980 14313960