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660040960 = 2854112577
BaseRepresentation
bin100111010101110…
…110110100000000
31200222222112222111
4213111312310000
52322432302320
6145254545104
722233153445
oct4725666400
91628875874
10660040960
113096375a7
12165068194
13a698b3a7
14639359cc
153ce2ca5a
hex27576d00

660040960 has 72 divisors (see below), whose sum is σ = 1619694216. Its totient is φ = 257556480.

The previous prime is 660040937. The next prime is 660040973. The reversal of 660040960 is 69040066.

It can be written as a sum of positive squares in 4 ways, for example, as 53699584 + 606341376 = 7328^2 + 24624^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46192 + ... + 58768.

It is an arithmetic number, because the mean of its divisors is an integer number (22495753).

Almost surely, 2660040960 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 660040960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809847108).

660040960 is an abundant number, since it is smaller than the sum of its proper divisors (959653256).

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

660040960 is a wasteful number, since it uses less digits than its factorization.

660040960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12639 (or 12625 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 660040960 is about 25691.2623278810. The cubic root of 660040960 is about 870.6767799484.

The spelling of 660040960 in words is "six hundred sixty million, forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3280 5248 6560 10496 12577 13120 25154 26240 50308 52480 62885 100616 125770 201232 251540 402464 503080 515657 804928 1006160 1031314 1609856 2012320 2062628 2578285 3219712 4024640 4125256 5156570 8049280 8250512 10313140 16098560 16501024 20626280 33002048 41252560 66004096 82505120 132008192 165010240 330020480 660040960