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12357680 = 2451131367
BaseRepresentation
bin101111001001…
…000000110000
3212020211112212
4233021000300
511130421210
61120511252
7210016136
oct57110060
925224485
1012357680
116a80565
12417b528
132738a4a
1418d9756
151141805
hexbc9030

12357680 has 40 divisors (see below), whose sum is σ = 29007072. Its totient is φ = 4895744.

The previous prime is 12357679. The next prime is 12357731. The reversal of 12357680 is 8675321.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8357 + ... + 9723.

Almost surely, 212357680 is an apocalyptic number.

12357680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12357680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14503536).

12357680 is an abundant number, since it is smaller than the sum of its proper divisors (16649392).

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

12357680 is a wasteful number, since it uses less digits than its factorization.

12357680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 12357680 is about 3515.3492002929. The cubic root of 12357680 is about 231.1952897114.

The spelling of 12357680 in words is "twelve million, three hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1367 1808 2260 2734 4520 5468 6835 9040 10936 13670 21872 27340 54680 109360 154471 308942 617884 772355 1235768 1544710 2471536 3089420 6178840 12357680