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1396757472 = 253117318119
BaseRepresentation
bin101001101000000…
…1101001111100000
310121100020122001020
41103100031033200
510330032214342
6350333205440
746420146135
oct12320151740
93540218036
101396757472
11657484620
1232b930880
131934b4916
14d370a58c
15829540ec
hex5340d3e0

1396757472 has 96 divisors (see below), whose sum is σ = 4054821120. Its totient is φ = 417438720.

The previous prime is 1396757459. The next prime is 1396757489. The reversal of 1396757472 is 2747576931.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68029 + ... + 86147.

It is an arithmetic number, because the mean of its divisors is an integer number (42237720).

Almost surely, 21396757472 is an apocalyptic number.

1396757472 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 1396757472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027410560).

1396757472 is an abundant number, since it is smaller than the sum of its proper divisors (2658063648).

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

1396757472 is a wasteful number, since it uses less digits than its factorization.

1396757472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18216 (or 18208 counting only the distinct ones).

The product of its digits is 2222640, while the sum is 51.

The square root of 1396757472 is about 37373.2186465121. The cubic root of 1396757472 is about 1117.8246124921.

The spelling of 1396757472 in words is "one billion, three hundred ninety-six million, seven hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 73 88 96 132 146 176 219 264 292 352 438 528 584 803 876 1056 1168 1606 1752 2336 2409 3212 3504 4818 6424 7008 9636 12848 18119 19272 25696 36238 38544 54357 72476 77088 108714 144952 199309 217428 289904 398618 434856 579808 597927 797236 869712 1195854 1322687 1594472 1739424 2391708 2645374 3188944 3968061 4783416 5290748 6377888 7936122 9566832 10581496 14549557 15872244 19133664 21162992 29099114 31744488 42325984 43648671 58198228 63488976 87297342 116396456 126977952 174594684 232792912 349189368 465585824 698378736 1396757472