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531088080 = 243510720681
BaseRepresentation
bin11111101001111…
…100001011010000
31101000100001212220
4133221330023100
52041424304310
6124411021040
716106113515
oct3751741320
91330301786
10531088080
11252870376
12129a3a780
138604b403
145076930c
1531959670
hex1fa7c2d0

531088080 has 80 divisors (see below), whose sum is σ = 1661840064. Its totient is φ = 140293120.

The previous prime is 531088079. The next prime is 531088093. The reversal of 531088080 is 80880135.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15340 + ... + 36020.

Almost surely, 2531088080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 531088080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830920032).

531088080 is an abundant number, since it is smaller than the sum of its proper divisors (1130751984).

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

531088080 is a wasteful number, since it uses less digits than its factorization.

531088080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20804 (or 20798 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 531088080 is about 23045.3483375713. The cubic root of 531088080 is about 809.8206583593.

The spelling of 531088080 in words is "five hundred thirty-one million, eighty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 12840 20681 25680 41362 62043 82724 103405 124086 165448 206810 248172 310215 330896 413620 496344 620430 827240 992688 1240860 1654480 2212867 2481720 4425734 4963440 6638601 8851468 11064335 13277202 17702936 22128670 26554404 33193005 35405872 44257340 53108808 66386010 88514680 106217616 132772020 177029360 265544040 531088080