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1315255320 = 233451723879
BaseRepresentation
bin100111001100101…
…0011010000011000
310101122212220010000
41032121103100120
510143201132240
6334302253000
744410325421
oct11631232030
93348786100
101315255320
11615477875
12308587160
1317c6498b2
14c6972648
157a705430
hex4e653418

1315255320 has 160 divisors (see below), whose sum is σ = 4680957600. Its totient is φ = 330089472.

The previous prime is 1315255219. The next prime is 1315255351. The reversal of 1315255320 is 235525131.

It is a happy number.

1315255320 is a `hidden beast` number, since 1 + 315 + 25 + 5 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 43141 + ... + 67019.

It is an arithmetic number, because the mean of its divisors is an integer number (29255985).

Almost surely, 21315255320 is an apocalyptic number.

1315255320 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 1315255320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340478800).

1315255320 is an abundant number, since it is smaller than the sum of its proper divisors (3365702280).

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

1315255320 is a wasteful number, since it uses less digits than its factorization.

1315255320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23919 (or 23906 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1315255320 is about 36266.4489576799. The cubic root of 1315255320 is about 1095.6454067166.

The spelling of 1315255320 in words is "one billion, three hundred fifteen million, two hundred fifty-five thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 23879 27540 47758 55080 71637 95516 119395 143274 191032 214911 238790 286548 358185 405943 429822 477580 573096 644733 716370 811886 859644 955160 1074555 1217829 1289466 1432740 1623772 1719288 1934199 2029715 2149110 2435658 2578932 2865480 3223665 3247544 3653487 3868398 4059430 4298220 4871316 5157864 6089145 6447330 7306974 7736796 8118860 8596440 9670995 9742632 10960461 12178290 12894660 14613948 15473592 16237720 18267435 19341990 21920922 24356580 25789320 29227896 32881383 36534870 38683980 43841844 48713160 54802305 65762766 73069740 77367960 87683688 109604610 131525532 146139480 164406915 219209220 263051064 328813830 438418440 657627660 1315255320