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10314960 = 243542979
BaseRepresentation
bin100111010110…
…010011010000
3201102001110120
4213112103100
510120034320
61005030240
7153450525
oct47262320
921361416
1010314960
115905867
123555380
1321a2036
14152714c
15d8b440
hex9d64d0

10314960 has 40 divisors (see below), whose sum is σ = 31977120. Its totient is φ = 2750592.

The previous prime is 10314959. The next prime is 10314977. The reversal of 10314960 is 6941301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10314960.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21250 + ... + 21729.

It is an arithmetic number, because the mean of its divisors is an integer number (799428).

Almost surely, 210314960 is an apocalyptic number.

10314960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10314960 is an abundant number, since it is smaller than the sum of its proper divisors (21662160).

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

10314960 is a wasteful number, since it uses less digits than its factorization.

10314960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42995 (or 42989 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10314960 is about 3211.6911433075. The cubic root of 10314960 is about 217.6819985443.

The spelling of 10314960 in words is "ten million, three hundred fourteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 42979 85958 128937 171916 214895 257874 343832 429790 515748 644685 687664 859580 1031496 1289370 1719160 2062992 2578740 3438320 5157480 10314960