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631012080 = 24355944563
BaseRepresentation
bin100101100111000…
…111101011110000
31121222100201211210
4211213013223300
52243014341310
6142340440120
721431341236
oct4547075360
91558321753
10631012080
112a420a796
121573a9040
13a096643a
145db3a956
153a5e6820
hex259c7af0

631012080 has 80 divisors (see below), whose sum is σ = 1989336960. Its totient is φ = 165414144.

The previous prime is 631012013. The next prime is 631012091. The reversal of 631012080 is 80210136.

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, 8122 + ... + 36441.

It is an arithmetic number, because the mean of its divisors is an integer number (24866712).

Almost surely, 2631012080 is an apocalyptic number.

631012080 is a gapful number since it is divisible by the number (60) 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 631012080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994668480).

631012080 is an abundant number, since it is smaller than the sum of its proper divisors (1358324880).

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

631012080 is a wasteful number, since it uses less digits than its factorization.

631012080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44638 (or 44632 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 631012080 is about 25119.9538216136. The cubic root of 631012080 is about 857.7206995666.

The spelling of 631012080 in words is "six hundred thirty-one million, twelve thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 44563 89126 133689 178252 222815 267378 356504 445630 534756 668445 713008 891260 1069512 1336890 1782520 2139024 2629217 2673780 3565040 5258434 5347560 7887651 10516868 10695120 13146085 15775302 21033736 26292170 31550604 39438255 42067472 52584340 63101208 78876510 105168680 126202416 157753020 210337360 315506040 631012080