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661142960 = 24578710501
BaseRepresentation
bin100111011010000…
…011110110110000
31201002001112122022
4213122003312300
52323223033320
6145334331012
722245423332
oct4732036660
91632045568
10661142960
1130a21a545
121654b9a68
13a6c85b6a
1463b41452
153d099325
hex27683db0

661142960 has 40 divisors (see below), whose sum is σ = 1539257136. Its totient is φ = 264096000.

The previous prime is 661142959. The next prime is 661142987. The reversal of 661142960 is 69241166.

661142960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×6611429602 = 874220027115123200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 661142960.

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, 57710 + ... + 68210.

Almost surely, 2661142960 is an apocalyptic number.

It is an amenable number.

661142960 is an abundant number, since it is smaller than the sum of its proper divisors (878114176).

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

661142960 is a wasteful number, since it uses less digits than its factorization.

661142960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11301 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 661142960 is about 25712.7003638280. The cubic root of 661142960 is about 871.1610692479.

The spelling of 661142960 in words is "six hundred sixty-one million, one hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 787 1574 3148 3935 6296 7870 10501 12592 15740 21002 31480 42004 52505 62960 84008 105010 168016 210020 420040 840080 8264287 16528574 33057148 41321435 66114296 82642870 132228592 165285740 330571480 661142960