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280052640 = 2536574
BaseRepresentation
bin10000101100010…
…100001110100000
3201111222011000000
4100230110032200
51033143141030
643442300000
76640260000
oct2054241640
9644864000
10280052640
1113409a76a
1279957600
134603562a
14292a0000
15198bd860
hex10b143a0

280052640 has 420 divisors, whose sum is σ = 1157244354. Its totient is φ = 64012032.

The previous prime is 280052629. The next prime is 280052659. The reversal of 280052640 is 46250082.

It can be written as a sum of positive squares in only one way, i.e., 252047376 + 28005264 = 15876^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 40007517 + ... + 40007523.

Almost surely, 2280052640 is an apocalyptic number.

280052640 is a gapful number since it is divisible by the number (20) 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 280052640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578622177).

280052640 is an abundant number, since it is smaller than the sum of its proper divisors (877191714).

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

280052640 is an frugal number, since it uses more digits than its factorization.

280052640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 280052640 is about 16734.7733776111. The cubic root of 280052640 is about 654.2542568332.

The spelling of 280052640 in words is "two hundred eighty million, fifty-two thousand, six hundred forty".