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671580960 = 25352775051
BaseRepresentation
bin101000000001111…
…000001100100000
31201210200211212220
4220001320030200
52333411042320
6150350151040
722433225661
oct5001701440
91653624786
10671580960
113150a9796
12168ab2480
13a919bbab
146529b368
153de5be40
hex28078320

671580960 has 96 divisors (see below), whose sum is σ = 2123537472. Its totient is φ = 178406400.

The previous prime is 671580929. The next prime is 671580961. The reversal of 671580960 is 69085176.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (671580961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130435 + ... + 135485.

It is an arithmetic number, because the mean of its divisors is an integer number (22120182).

Almost surely, 2671580960 is an apocalyptic number.

671580960 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 671580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1061768736).

671580960 is an abundant number, since it is smaller than the sum of its proper divisors (1451956512).

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

671580960 is a wasteful number, since it uses less digits than its factorization.

671580960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5346 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 671580960 is about 25914.8791237775. The cubic root of 671580960 is about 875.7217272543.

The spelling of 671580960 in words is "six hundred seventy-one million, five hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 277 480 554 831 1108 1385 1662 2216 2770 3324 4155 4432 5051 5540 6648 8310 8864 10102 11080 13296 15153 16620 20204 22160 25255 26592 30306 33240 40408 44320 50510 60612 66480 75765 80816 101020 121224 132960 151530 161632 202040 242448 303060 404080 484896 606120 808160 1212240 1399127 2424480 2798254 4197381 5596508 6995635 8394762 11193016 13991270 16789524 20986905 22386032 27982540 33579048 41973810 44772064 55965080 67158096 83947620 111930160 134316192 167895240 223860320 335790480 671580960