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12318960 = 243551329
BaseRepresentation
bin101110111111…
…100011110000
3212011212102210
4232333203300
511123201320
61120012120
7206465223
oct56774360
925155383
1012318960
116a54465
124161040
132724234
1418c95ba
1511350e0
hexbbf8f0

12318960 has 40 divisors (see below), whose sum is σ = 38189520. Its totient is φ = 3284992.

The previous prime is 12318953. The next prime is 12318967. The reversal of 12318960 is 6981321.

It is an interprime number because it is at equal distance from previous prime (12318953) and next prime (12318967).

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

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12318967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25425 + ... + 25904.

It is an arithmetic number, because the mean of its divisors is an integer number (954738).

Almost surely, 212318960 is an apocalyptic number.

12318960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12318960 is an abundant number, since it is smaller than the sum of its proper divisors (25870560).

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

12318960 is a wasteful number, since it uses less digits than its factorization.

12318960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51345 (or 51339 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 12318960 is about 3509.8376030808. The cubic root of 12318960 is about 230.9535709990.

The spelling of 12318960 in words is "twelve million, three hundred eighteen 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 51329 102658 153987 205316 256645 307974 410632 513290 615948 769935 821264 1026580 1231896 1539870 2053160 2463792 3079740 4106320 6159480 12318960