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1330875520 = 27513198419
BaseRepresentation
bin100111101010011…
…1000110010000000
310102202021110222221
41033110320302000
510211201004040
6340021140424
744660153362
oct11724706200
93382243887
101330875520
11623276527
1231185a714
13182958610
14c8a7ad32
157bc8d74a
hex4f538c80

1330875520 has 128 divisors (see below), whose sum is σ = 3607128000. Its totient is φ = 465481728.

The previous prime is 1330875509. The next prime is 1330875529. The reversal of 1330875520 is 255780331.

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

It is not an unprimeable number, because it can be changed into a prime (1330875529) 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, 153871 + ... + 162289.

Almost surely, 21330875520 is an apocalyptic number.

1330875520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803564000).

1330875520 is an abundant number, since it is smaller than the sum of its proper divisors (2276252480).

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

1330875520 is a wasteful number, since it uses less digits than its factorization.

1330875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8470 (or 8458 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 1330875520 is about 36481.1666480117. The cubic root of 1330875520 is about 1099.9657069199.

The spelling of 1330875520 in words is "one billion, three hundred thirty million, eight hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 32 38 40 52 64 65 76 80 95 104 128 130 152 160 190 208 247 260 304 320 380 416 494 520 608 640 760 832 988 1040 1216 1235 1520 1664 1976 2080 2432 2470 3040 3952 4160 4940 6080 7904 8320 8419 9880 12160 15808 16838 19760 31616 33676 39520 42095 67352 79040 84190 109447 134704 158080 159961 168380 218894 269408 319922 336760 437788 538816 547235 639844 673520 799805 875576 1077632 1094470 1279688 1347040 1599610 1751152 2079493 2188940 2559376 2694080 3199220 3502304 4158986 4377880 5118752 5388160 6398440 7004608 8317972 8755760 10237504 10397465 12796880 14009216 16635944 17511520 20475008 20794930 25593760 33271888 35023040 41589860 51187520 66543776 70046080 83179720 102375040 133087552 166359440 266175104 332718880 665437760 1330875520