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1380225696 = 253432571301
BaseRepresentation
bin101001001000100…
…1001001010100000
310120012010201201020
41102101021022200
510311314210241
6344543005440
746126503423
oct12221111240
93505121636
101380225696
11649112aa3
12326299880
1318cc46cc5
14d14459ba
158128ab66
hex524492a0

1380225696 has 96 divisors (see below), whose sum is σ = 3724636608. Its totient is φ = 447283200.

The previous prime is 1380225667. The next prime is 1380225703. The reversal of 1380225696 is 6965220831.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1060246 + ... + 1061546.

It is an arithmetic number, because the mean of its divisors is an integer number (38798298).

Almost surely, 21380225696 is an apocalyptic number.

1380225696 is a gapful number since it is divisible by the number (16) 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 1380225696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1862318304).

1380225696 is an abundant number, since it is smaller than the sum of its proper divisors (2344410912).

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

1380225696 is a wasteful number, since it uses less digits than its factorization.

1380225696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 1380225696 is about 37151.3888838627. The cubic root of 1380225696 is about 1113.3969727886.

The spelling of 1380225696 in words is "one billion, three hundred eighty million, two hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 257 258 344 514 516 688 771 1028 1032 1301 1376 1542 2056 2064 2602 3084 3903 4112 4128 5204 6168 7806 8224 10408 11051 12336 15612 20816 22102 24672 31224 33153 41632 44204 55943 62448 66306 88408 111886 124896 132612 167829 176816 223772 265224 334357 335658 353632 447544 530448 668714 671316 895088 1003071 1060896 1337428 1342632 1790176 2006142 2674856 2685264 4012284 5349712 5370528 8024568 10699424 14377351 16049136 28754702 32098272 43132053 57509404 86264106 115018808 172528212 230037616 345056424 460075232 690112848 1380225696