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1397012960 = 25574726539
BaseRepresentation
bin101001101000100…
…1011100111100000
310121100201121111202
41103101023213200
510330113403320
6350342500332
746422262040
oct12321134740
93540647452
101397012960
11657639572
1232ba346a8
13193573cb5
14d3775720
15829a4b75
hex5344b9e0

1397012960 has 96 divisors (see below), whose sum is σ = 3852334080. Its totient is φ = 468767232.

The previous prime is 1397012941. The next prime is 1397013001. The reversal of 1397012960 is 692107931.

It is a happy number.

It is a congruent number.

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, 39371 + ... + 65909.

It is an arithmetic number, because the mean of its divisors is an integer number (40128480).

Almost surely, 21397012960 is an apocalyptic number.

1397012960 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 1397012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926167040).

1397012960 is an abundant number, since it is smaller than the sum of its proper divisors (2455321120).

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

1397012960 is a wasteful number, since it uses less digits than its factorization.

1397012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26608 (or 26600 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 38.

The square root of 1397012960 is about 37376.6365527986. The cubic root of 1397012960 is about 1117.8927639952.

The spelling of 1397012960 in words is "one billion, three hundred ninety-seven million, twelve thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 112 140 160 188 224 235 280 329 376 470 560 658 752 940 1120 1316 1504 1645 1880 2632 3290 3760 5264 6580 7520 10528 13160 26320 26539 52640 53078 106156 132695 185773 212312 265390 371546 424624 530780 743092 849248 928865 1061560 1247333 1486184 1857730 2123120 2494666 2972368 3715460 4246240 4989332 5944736 6236665 7430920 8731331 9978664 12473330 14861840 17462662 19957328 24946660 29723680 34925324 39914656 43656655 49893320 69850648 87313310 99786640 139701296 174626620 199573280 279402592 349253240 698506480 1397012960