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1313202440 = 2351110727893
BaseRepresentation
bin100111001000101…
…1110000100001000
310101112000121002102
41032101132010020
510142134434230
6334150252532
744354015354
oct11621360410
93345017072
101313202440
116142a5480
12307957148
1317c0ab384
14c659a464
157a44c045
hex4e45e108

1313202440 has 64 divisors (see below), whose sum is σ = 3253556160. Its totient is φ = 473048320.

The previous prime is 1313202437. The next prime is 1313202463. The reversal of 1313202440 is 442023131.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 33134 + ... + 61026.

It is an arithmetic number, because the mean of its divisors is an integer number (50836815).

Almost surely, 21313202440 is an apocalyptic number.

1313202440 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 1313202440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626778080).

1313202440 is an abundant number, since it is smaller than the sum of its proper divisors (1940353720).

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

1313202440 is a wasteful number, since it uses less digits than its factorization.

1313202440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28022 (or 28018 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1313202440 is about 36238.1351617326. The cubic root of 1313202440 is about 1095.0750739101.

Adding to 1313202440 its reverse (442023131), we get a palindrome (1755225571).

The spelling of 1313202440 in words is "one billion, three hundred thirteen million, two hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 4280 4708 5885 9416 11770 23540 27893 47080 55786 111572 139465 223144 278930 306823 557860 613646 1115720 1227292 1534115 2454584 2984551 3068230 5969102 6136460 11938204 12272920 14922755 23876408 29845510 32830061 59691020 65660122 119382040 131320244 164150305 262640488 328300610 656601220 1313202440