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1313010240 = 26354133359
BaseRepresentation
bin100111001000010…
…1111001001000000
310101111122211102220
41032100233021000
510142112311430
6334142211040
744352255123
oct11620571100
93344584386
101313010240
11614184033
12307883a80
1317c041a49
14c654a3ba
157a410110
hex4e42f240

1313010240 has 112 divisors (see below), whose sum is σ = 4270613760. Its totient is φ = 341585920.

The previous prime is 1313010233. The next prime is 1313010271. The reversal of 1313010240 is 420103131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22681 + ... + 56039.

It is an arithmetic number, because the mean of its divisors is an integer number (38130480).

Almost surely, 21313010240 is an apocalyptic number.

1313010240 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 1313010240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135306880).

1313010240 is an abundant number, since it is smaller than the sum of its proper divisors (2957603520).

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

1313010240 is a wasteful number, since it uses less digits than its factorization.

1313010240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33420 (or 33410 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1313010240 is about 36235.4831622265. The cubic root of 1313010240 is about 1095.0216463267.

Adding to 1313010240 its reverse (420103131), we get a palindrome (1733113371).

The spelling of 1313010240 in words is "one billion, three hundred thirteen million, ten thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 160 164 192 205 240 246 320 328 410 480 492 615 656 820 960 984 1230 1312 1640 1968 2460 2624 3280 3936 4920 6560 7872 9840 13120 19680 33359 39360 66718 100077 133436 166795 200154 266872 333590 400308 500385 533744 667180 800616 1000770 1067488 1334360 1367719 1601232 2001540 2134976 2668720 2735438 3202464 4003080 4103157 5337440 5470876 6404928 6838595 8006160 8206314 10674880 10941752 13677190 16012320 16412628 20515785 21883504 27354380 32024640 32825256 41031570 43767008 54708760 65650512 82063140 87534016 109417520 131301024 164126280 218835040 262602048 328252560 437670080 656505120 1313010240