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660544040 = 2351310112577
BaseRepresentation
bin100111010111110…
…001101000101000
31201000221010002002
4213113301220220
52323044402130
6145313430132
722240350242
oct4727615050
91630833062
10660544040
11309950572
1216526b348
13a6b06380
1463a27092
153cecbb45
hex275f1a28

660544040 has 64 divisors (see below), whose sum is σ = 1616524560. Its totient is φ = 241459200.

The previous prime is 660544021. The next prime is 660544057. The reversal of 660544040 is 40445066.

660544040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 503643364 + 156900676 = 22442^2 + 12526^2 .

It is a junction number, because it is equal to n+sod(n) for n = 660543994 and 660544012.

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, 46232 + ... + 58808.

Almost surely, 2660544040 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 660544040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808262280).

660544040 is an abundant number, since it is smaller than the sum of its proper divisors (955980520).

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

660544040 is a wasteful number, since it uses less digits than its factorization.

660544040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12702 (or 12698 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 660544040 is about 25701.0513403635. The cubic root of 660544040 is about 870.8979323023.

The spelling of 660544040 in words is "six hundred sixty million, five hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 10504 12577 13130 25154 26260 50308 52520 62885 100616 125770 163501 251540 327002 503080 654004 817505 1270277 1308008 1635010 2540554 3270020 5081108 6351385 6540040 10162216 12702770 16513601 25405540 33027202 50811080 66054404 82568005 132108808 165136010 330272020 660544040