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520291968 = 2737414721
BaseRepresentation
bin11111000000110…
…000011010000000
31100021000120101220
4133000300122000
52031143320333
6123343355040
715615260130
oct3700603200
91307016356
10520291968
11247767069
121262b2a80
1383a3b391
144d158ac0
1530a258b3
hex1f030680

520291968 has 128 divisors (see below), whose sum is σ = 1618323840. Its totient is φ = 144998400.

The previous prime is 520291963. The next prime is 520291979. The reversal of 520291968 is 869192025.

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 not an unprimeable number, because it can be changed into a prime (520291963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107848 + ... + 112568.

It is an arithmetic number, because the mean of its divisors is an integer number (12643155).

Almost surely, 2520291968 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 520291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809161920).

520291968 is an abundant number, since it is smaller than the sum of its proper divisors (1098031872).

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

520291968 is a wasteful number, since it uses less digits than its factorization.

520291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4786 (or 4774 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 520291968 is about 22809.9094255107. The cubic root of 520291968 is about 804.2956265404.

The spelling of 520291968 in words is "five hundred twenty million, two hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 384 448 492 574 656 672 861 896 984 1148 1312 1344 1722 1968 2296 2624 2688 3444 3936 4592 4721 5248 6888 7872 9184 9442 13776 14163 15744 18368 18884 27552 28326 33047 36736 37768 55104 56652 66094 75536 99141 110208 113304 132188 151072 193561 198282 226608 264376 302144 387122 396564 453216 528752 580683 604288 774244 793128 906432 1057504 1161366 1354927 1548488 1586256 1812864 2115008 2322732 2709854 3096976 3172512 4064781 4230016 4645464 5419708 6193952 6345024 8129562 9290928 10839416 12387904 12690048 16259124 18581856 21678832 24775808 32518248 37163712 43357664 65036496 74327424 86715328 130072992 173430656 260145984 520291968