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160968960 = 2832589157
BaseRepresentation
bin10011001100000…
…11000100000000
3102012220001220100
421212003010000
5312202001320
623550042400
73663133155
oct1146030400
9365801810
10160968960
11829543a9
1245aa9400
132746c809
141754222c
15e1e9790
hex9983100

160968960 has 216 divisors, whose sum is σ = 566780760. Its totient is φ = 42172416.

The previous prime is 160968953. The next prime is 160968967. The reversal of 160968960 is 69869061.

It is an interprime number because it is at equal distance from previous prime (160968953) and next prime (160968967).

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 160579584 = 624^2 + 12672^2 .

It is a super-2 number, since 2×1609689602 = 51822012166963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (160968967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1025202 + ... + 1025358.

It is an arithmetic number, because the mean of its divisors is an integer number (2623985).

Almost surely, 2160968960 is an apocalyptic number.

160968960 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 160968960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283390380).

160968960 is an abundant number, since it is smaller than the sum of its proper divisors (405811800).

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

160968960 is a wasteful number, since it uses less digits than its factorization.

160968960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 160968960 is about 12687.3543341392. The cubic root of 160968960 is about 543.9772193459.

The spelling of 160968960 in words is "one hundred sixty million, nine hundred sixty-eight thousand, nine hundred sixty".