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1325521340 = 22511133591291
BaseRepresentation
bin100111100000001…
…1101100110111100
310102101012110102222
41033000131212330
510203313140330
6335310304512
744563513463
oct11700354674
93371173388
101325521340
11620249890
1230bab8138
13181802570
14c80859da
157b5820e5
hex4f01d9bc

1325521340 has 96 divisors (see below), whose sum is σ = 3281886720. Its totient is φ = 443347200.

The previous prime is 1325521321. The next prime is 1325521363. The reversal of 1325521340 is 431255231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026095 + ... + 1027385.

It is an arithmetic number, because the mean of its divisors is an integer number (34186320).

Almost surely, 21325521340 is an apocalyptic number.

1325521340 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 1325521340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640943360).

1325521340 is an abundant number, since it is smaller than the sum of its proper divisors (1956365380).

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

1325521340 is a wasteful number, since it uses less digits than its factorization.

1325521340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1683 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1325521340 is about 36407.7098977675. The cubic root of 1325521340 is about 1098.4886517022.

Adding to 1325521340 its reverse (431255231), we get a palindrome (1756776571).

The spelling of 1325521340 in words is "one billion, three hundred twenty-five million, five hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 359 572 715 718 1291 1430 1436 1795 2582 2860 3590 3949 4667 5164 6455 7180 7898 9334 12910 14201 15796 16783 18668 19745 23335 25820 28402 33566 39490 46670 51337 56804 67132 71005 78980 83915 93340 102674 142010 167830 184613 205348 256685 284020 335660 369226 463469 513370 738452 923065 926938 1026740 1846130 1853876 2317345 3692260 4634690 5098159 6025097 9269380 10196318 12050194 20392636 24100388 25490795 30125485 50981590 60250970 66276067 101963180 120501940 132552134 265104268 331380335 662760670 1325521340