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12387680 = 255139557
BaseRepresentation
bin101111010000…
…010101100000
3212022100200222
4233100111200
511132401210
61121302212
7210202454
oct57202540
925270628
1012387680
116aa1058
124194968
1327495b6
141906664
15114a655
hexbd0560

12387680 has 48 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4910592.

The previous prime is 12387673. The next prime is 12387701. The reversal of 12387680 is 8678321.

It is a self number, because there is not a number n which added to its sum of digits gives 12387680.

It is a congruent number.

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, 21962 + ... + 22518.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 212387680 is an apocalyptic number.

12387680 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 12387680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

12387680 is an abundant number, since it is smaller than the sum of its proper divisors (17141680).

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

12387680 is a wasteful number, since it uses less digits than its factorization.

12387680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 12387680 is about 3519.6136151572. The cubic root of 12387680 is about 231.3822248443.

The spelling of 12387680 in words is "twelve million, three hundred eighty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 139 160 278 556 557 695 1112 1114 1390 2224 2228 2780 2785 4448 4456 5560 5570 8912 11120 11140 17824 22240 22280 44560 77423 89120 154846 309692 387115 619384 774230 1238768 1548460 2477536 3096920 6193840 12387680