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325728720 = 24325452401
BaseRepresentation
bin10011011010100…
…011100111010000
3211200220201210200
4103122203213100
51131341304340
652153255200
711033435262
oct2332434720
9750821720
10325728720
11157957899
1291104500
13526388b5
143138db32
151d8e2330
hex136a39d0

325728720 has 60 divisors (see below), whose sum is σ = 1093908036. Its totient is φ = 86860800.

The previous prime is 325728719. The next prime is 325728727. The reversal of 325728720 is 27827523.

It is a happy number.

325728720 is a `hidden beast` number, since 3 + 2 + 572 + 87 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 66389904 + 259338816 = 8148^2 + 16104^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325728727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225481 + ... + 226920.

Almost surely, 2325728720 is an apocalyptic number.

325728720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

325728720 is an abundant number, since it is smaller than the sum of its proper divisors (768179316).

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

325728720 is a wasteful number, since it uses less digits than its factorization.

325728720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452420 (or 452411 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 325728720 is about 18047.9561169679. The cubic root of 325728720 is about 688.0479167096.

The spelling of 325728720 in words is "three hundred twenty-five million, seven hundred twenty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 452401 904802 1357203 1809604 2262005 2714406 3619208 4071609 4524010 5428812 6786015 7238416 8143218 9048020 10857624 13572030 16286436 18096040 20358045 21715248 27144060 32572872 36192080 40716090 54288120 65145744 81432180 108576240 162864360 325728720