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1520134968 = 2331117437877
BaseRepresentation
bin101101010011011…
…0110101100111000
310220221101212011010
41122212312230320
511103123304333
6410501433520
752445635242
oct13246665470
93827355133
101520134968
117100929a0
1236510b8a0
131b2c21c61
14105c65092
158d6c5563
hex5a9b6b38

1520134968 has 128 divisors (see below), whose sum is σ = 4492350720. Its totient is φ = 423413760.

The previous prime is 1520134961. The next prime is 1520135051. The reversal of 1520134968 is 8694310251.

It is a super-2 number, since 2×15201349682 = 4621620641872722048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1520134961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189046 + ... + 196922.

It is an arithmetic number, because the mean of its divisors is an integer number (35096490).

Almost surely, 21520134968 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 1520134968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246175360).

1520134968 is an abundant number, since it is smaller than the sum of its proper divisors (2972215752).

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

1520134968 is a wasteful number, since it uses less digits than its factorization.

1520134968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7953 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 1520134968 is about 38988.9082688910. The cubic root of 1520134968 is about 1149.8134462353.

The spelling of 1520134968 in words is "one billion, five hundred twenty million, one hundred thirty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 43 44 51 66 68 86 88 102 129 132 136 172 187 204 258 264 344 374 408 473 516 561 731 748 946 1032 1122 1419 1462 1496 1892 2193 2244 2838 2924 3784 4386 4488 5676 5848 7877 8041 8772 11352 15754 16082 17544 23631 24123 31508 32164 47262 48246 63016 64328 86647 94524 96492 133909 173294 189048 192984 259941 267818 338711 346588 401727 519882 535636 677422 693176 803454 1016133 1039764 1071272 1354844 1472999 1606908 2032266 2079528 2709688 2945998 3213816 3725821 4064532 4418997 5758087 5891996 7451642 8129064 8837994 11177463 11516174 11783992 14903284 17274261 17675988 22354926 23032348 29806568 34548522 35351976 44709852 46064696 63338957 69097044 89419704 126677914 138194088 190016871 253355828 380033742 506711656 760067484 1520134968