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12720960 = 263257631
BaseRepresentation
bin110000100001…
…101101000000
3212221021212200
4300201231000
511224032320
61132353200
7213061230
oct60415500
925837780
1012720960
1171a949a
124315800
1328351c5
141991cc0
1511b4290
hexc21b40

12720960 has 168 divisors, whose sum is σ = 50084736. Its totient is φ = 2903040.

The previous prime is 12720949. The next prime is 12720971. The reversal of 12720960 is 6902721.

It is an interprime number because it is at equal distance from previous prime (12720949) and next prime (12720971).

It is a tau number, because it is divible by the number of its divisors (168).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19845 + ... + 20475.

Almost surely, 212720960 is an apocalyptic number.

12720960 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 12720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25042368).

12720960 is an abundant number, since it is smaller than the sum of its proper divisors (37363776).

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

12720960 is a wasteful number, since it uses less digits than its factorization.

12720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 12720960 is about 3566.6454828031. The cubic root of 12720960 is about 233.4389363255.

The spelling of 12720960 in words is "twelve million, seven hundred twenty thousand, nine hundred sixty".