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660363424 = 257127139167
BaseRepresentation
bin100111010111000…
…101100010100000
31201000120221022121
4213113011202200
52323023112144
6145305514024
722235665540
oct4727054240
91630527277
10660363424
113098378a6
121651a2914
13a6a720b6
14639bb320
153ce93384
hex275c58a0

660363424 has 96 divisors (see below), whose sum is σ = 1517322240. Its totient is φ = 277095168.

The previous prime is 660363421. The next prime is 660363439. The reversal of 660363424 is 424363066.

It is a self number, because there is not a number n which added to its sum of digits gives 660363424.

It is not an unprimeable number, because it can be changed into a prime (660363421) by changing a digit.

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, 3954189 + ... + 3954355.

It is an arithmetic number, because the mean of its divisors is an integer number (15805440).

Almost surely, 2660363424 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 660363424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758661120).

660363424 is an abundant number, since it is smaller than the sum of its proper divisors (856958816).

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

660363424 is a wasteful number, since it uses less digits than its factorization.

660363424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 34.

The square root of 660363424 is about 25697.5373139140. The cubic root of 660363424 is about 870.8185470126.

The spelling of 660363424 in words is "six hundred sixty million, three hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 139 167 224 254 278 334 508 556 668 889 973 1016 1112 1169 1336 1778 1946 2032 2224 2338 2672 3556 3892 4064 4448 4676 5344 7112 7784 9352 14224 15568 17653 18704 21209 23213 28448 31136 35306 37408 42418 46426 70612 84836 92852 123571 141224 148463 162491 169672 185704 247142 282448 296926 324982 339344 371408 494284 564896 593852 649964 678688 742816 988568 1187704 1299928 1977136 2375408 2599856 2948051 3954272 4750816 5199712 5896102 11792204 20636357 23584408 41272714 47168816 82545428 94337632 165090856 330181712 660363424