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1317560520 = 2335172328081
BaseRepresentation
bin100111010001000…
…0110000011001000
310101211020000020210
41032202012003020
510144243414040
6334423521120
744436036213
oct11642060310
93354200223
101317560520
116168017a1
123092b91a0
1317cc75c13
14c6db277a
157aa0d480
hex4e8860c8

1317560520 has 128 divisors (see below), whose sum is σ = 4367312640. Its totient is φ = 316293120.

The previous prime is 1317560513. The next prime is 1317560521. The reversal of 1317560520 is 250657131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1317560521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32880 + ... + 60960.

It is an arithmetic number, because the mean of its divisors is an integer number (34119630).

Almost surely, 21317560520 is an apocalyptic number.

1317560520 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 1317560520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2183656320).

1317560520 is an abundant number, since it is smaller than the sum of its proper divisors (3049752120).

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

1317560520 is a wasteful number, since it uses less digits than its factorization.

1317560520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28135 (or 28131 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 1317560520 is about 36298.2164851112. The cubic root of 1317560520 is about 1096.2851323606.

The spelling of 1317560520 in words is "one billion, three hundred seventeen million, five hundred sixty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 23 24 30 34 40 46 51 60 68 69 85 92 102 115 120 136 138 170 184 204 230 255 276 340 345 391 408 460 510 552 680 690 782 920 1020 1173 1380 1564 1955 2040 2346 2760 3128 3910 4692 5865 7820 9384 11730 15640 23460 28081 46920 56162 84243 112324 140405 168486 224648 280810 336972 421215 477377 561620 645863 673944 842430 954754 1123240 1291726 1432131 1684860 1909508 1937589 2386885 2583452 2864262 3229315 3369720 3819016 3875178 4773770 5166904 5728524 6458630 7160655 7750356 9547540 9687945 10979671 11457048 12917260 14321310 15500712 19095080 19375890 21959342 25834520 28642620 32939013 38751780 43918684 54898355 57285240 65878026 77503560 87837368 109796710 131756052 164695065 219593420 263512104 329390130 439186840 658780260 1317560520