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663089040 = 24325920957
BaseRepresentation
bin100111100001011…
…110111110010000
31201012201102011100
4213201132332100
52324222322130
6145444144400
722301110125
oct4741367620
91635642140
10663089040
11310329679
12166098100
13a74b78a3
14640ca74c
153d330c60
hex2785ef90

663089040 has 60 divisors (see below), whose sum is σ = 2226876444. Its totient is φ = 176823552.

The previous prime is 663089027. The next prime is 663089051. The reversal of 663089040 is 40980366.

It can be written as a sum of positive squares in 2 ways, for example, as 158457744 + 504631296 = 12588^2 + 22464^2 .

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 junction number, because it is equal to n+sod(n) for n = 663088986 and 663089004.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 459759 + ... + 461198.

Almost surely, 2663089040 is an apocalyptic number.

663089040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

663089040 is an abundant number, since it is smaller than the sum of its proper divisors (1563787404).

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

663089040 is a wasteful number, since it uses less digits than its factorization.

663089040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920976 (or 920967 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 663089040 is about 25750.5153346491. The cubic root of 663089040 is about 872.0149886602.

The spelling of 663089040 in words is "six hundred sixty-three million, eighty-nine thousand, forty".

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 920957 1841914 2762871 3683828 4604785 5525742 7367656 8288613 9209570 11051484 13814355 14735312 16577226 18419140 22102968 27628710 33154452 36838280 41443065 44205936 55257420 66308904 73676560 82886130 110514840 132617808 165772260 221029680 331544520 663089040