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163072900 = 225212772
BaseRepresentation
bin10011011100001…
…00101110000100
3102100211221222001
421232010232010
5313221313100
624103115044
74020045124
oct1156045604
9370757861
10163072900
11840610a1
1246742a84
1327a28353
141792cc84
15e4b2d6a
hex9b84b84

163072900 has 27 divisors (see below), whose sum is σ = 354145519. Its totient is φ = 65178080.

The previous prime is 163072859. The next prime is 163072907. The reversal of 163072900 is 9270361.

The square root of 163072900 is 12770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 51076 + 163021824 = 226^2 + 12768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (163072907) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127062 + ... + 128338.

Almost surely, 2163072900 is an apocalyptic number.

163072900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

163072900 is the 12770-th square number.

It is an amenable number.

163072900 is an abundant number, since it is smaller than the sum of its proper divisors (191072619).

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

163072900 is an equidigital number, since it uses as much as digits as its factorization.

163072900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The cubic root of 163072900 is about 546.3369806352.

The spelling of 163072900 in words is "one hundred sixty-three million, seventy-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1277 2554 5108 6385 12770 25540 31925 63850 127700 1630729 3261458 6522916 8153645 16307290 32614580 40768225 81536450 163072900