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1313655880 = 235532772237
BaseRepresentation
bin100111001001100…
…1100110001001000
310101112212122002111
41032103030301020
510142243442010
6334204112104
744360614345
oct11623146110
93345778074
101313655880
11614585119
12307b35634
1317c209894
14c66777cc
157a4db58a
hex4e4ccc48

1313655880 has 64 divisors (see below), whose sum is σ = 3023717040. Its totient is φ = 513457152.

The previous prime is 1313655829. The next prime is 1313655899. The reversal of 1313655880 is 885563131.

It can be written as a sum of positive squares in 8 ways, for example, as 686754436 + 626901444 = 26206^2 + 25038^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 586122 + ... + 588358.

Almost surely, 21313655880 is an apocalyptic number.

1313655880 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 1313655880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511858520).

1313655880 is an abundant number, since it is smaller than the sum of its proper divisors (1710061160).

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

1313655880 is a wasteful number, since it uses less digits than its factorization.

1313655880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2574 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 40.

The square root of 1313655880 is about 36244.3910143349. The cubic root of 1313655880 is about 1095.2011001000.

The spelling of 1313655880 in words is "one billion, three hundred thirteen million, six hundred fifty-five thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 277 424 530 554 1060 1108 1385 2120 2216 2237 2770 4474 5540 8948 11080 11185 14681 17896 22370 29362 44740 58724 73405 89480 117448 118561 146810 237122 293620 474244 587240 592805 619649 948488 1185610 1239298 2371220 2478596 3098245 4742440 4957192 6196490 12392980 24785960 32841397 65682794 131365588 164206985 262731176 328413970 656827940 1313655880