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1397813652 = 223347383719
BaseRepresentation
bin101001101010000…
…1111000110010100
310121102020021212000
41103110033012110
510330320014102
6350411555300
746432135314
oct12324170624
93542207760
101397813652
116580360a4
1233015bb30
13193794591
14d3903444
1582ab201c
hex5350f194

1397813652 has 96 divisors (see below), whose sum is σ = 3715891200. Its totient is φ = 454201056.

The previous prime is 1397813647. The next prime is 1397813701. The reversal of 1397813652 is 2563187931.

It is a junction number, because it is equal to n+sod(n) for n = 1397813598 and 1397813607.

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, 1943749 + ... + 1944467.

It is an arithmetic number, because the mean of its divisors is an integer number (38707200).

Almost surely, 21397813652 is an apocalyptic number.

1397813652 is a gapful number since it is divisible by the number (12) 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 1397813652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857945600).

1397813652 is an abundant number, since it is smaller than the sum of its proper divisors (2318077548).

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

1397813652 is a wasteful number, since it uses less digits than its factorization.

1397813652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1162 (or 1154 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1397813652 is about 37387.3461481288. The cubic root of 1397813652 is about 1118.1062950236.

The spelling of 1397813652 in words is "one billion, three hundred ninety-seven million, eight hundred thirteen thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 94 108 141 188 282 383 423 564 719 766 846 1149 1269 1438 1532 1692 2157 2298 2538 2876 3447 4314 4596 5076 6471 6894 8628 10341 12942 13788 18001 19413 20682 25884 33793 36002 38826 41364 54003 67586 72004 77652 101379 108006 135172 162009 202758 216012 275377 304137 324018 405516 486027 550754 608274 648036 826131 912411 972054 1101508 1216548 1652262 1824822 1944108 2478393 3304524 3649644 4956786 7435179 9913572 12942719 14870358 25885438 29740716 38828157 51770876 77656314 116484471 155312628 232968942 349453413 465937884 698906826 1397813652