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660944256 = 27371311877
BaseRepresentation
bin100111011001010…
…011010110000000
31201001200110001220
4213121103112000
52323200204011
6145330155040
722243635120
oct4731232600
91631613056
10660944256
1130a0a4225
12165422a80
13a6c1659b
1463accc80
153d05a506
hex27653580

660944256 has 128 divisors (see below), whose sum is σ = 2022831360. Its totient is φ = 187299840.

The previous prime is 660944239. The next prime is 660944267. The reversal of 660944256 is 652449066.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351190 + ... + 353066.

It is an arithmetic number, because the mean of its divisors is an integer number (15803370).

Almost surely, 2660944256 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 660944256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011415680).

660944256 is an abundant number, since it is smaller than the sum of its proper divisors (1361887104).

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

660944256 is a wasteful number, since it uses less digits than its factorization.

660944256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 660944256 is about 25708.8361463525. The cubic root of 660944256 is about 871.0737857887.

The spelling of 660944256 in words is "six hundred sixty million, nine hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 131 168 192 224 262 336 384 393 448 524 672 786 896 917 1048 1344 1572 1834 1877 2096 2688 2751 3144 3668 3754 4192 5502 5631 6288 7336 7508 8384 11004 11262 12576 13139 14672 15016 16768 22008 22524 25152 26278 29344 30032 39417 44016 45048 50304 52556 58688 60064 78834 88032 90096 105112 117376 120128 157668 176064 180192 210224 240256 245887 315336 352128 360384 420448 491774 630672 720768 737661 840896 983548 1261344 1475322 1681792 1721209 1967096 2522688 2950644 3442418 3934192 5045376 5163627 5901288 6884836 7868384 10327254 11802576 13769672 15736768 20654508 23605152 27539344 31473536 41309016 47210304 55078688 82618032 94420608 110157376 165236064 220314752 330472128 660944256