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1393581696 = 273131072609
BaseRepresentation
bin101001100010000…
…0101111010000000
310121010021021200220
41103010011322000
510323224103241
6350141143040
746351151253
oct12304057200
93533237626
101393581696
11655705611
1232a85aa80
13192942270
14d312109a
1582528166
hex53105e80

1393581696 has 128 divisors (see below), whose sum is σ = 4025246400. Its totient is φ = 424624128.

The previous prime is 1393581671. The next prime is 1393581731. The reversal of 1393581696 is 6961853931.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532840 + ... + 535448.

Almost surely, 21393581696 is an apocalyptic number.

1393581696 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 1393581696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012623200).

1393581696 is an abundant number, since it is smaller than the sum of its proper divisors (2631664704).

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

1393581696 is a wasteful number, since it uses less digits than its factorization.

1393581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746 (or 2734 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The square root of 1393581696 is about 37330.7071457266. The cubic root of 1393581696 is about 1116.9767787200.

The spelling of 1393581696 in words is "one billion, three hundred ninety-three million, five hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 107 128 156 192 208 214 312 321 384 416 428 624 642 832 856 1248 1284 1391 1664 1712 2496 2568 2609 2782 3424 4173 4992 5136 5218 5564 6848 7827 8346 10272 10436 11128 13696 15654 16692 20544 20872 22256 31308 33384 33917 41088 41744 44512 62616 66768 67834 83488 89024 101751 125232 133536 135668 166976 178048 203502 250464 267072 271336 279163 333952 407004 500928 534144 542672 558326 814008 837489 1001856 1085344 1116652 1628016 1674978 2170688 2233304 3256032 3349956 3629119 4341376 4466608 6512064 6699912 7258238 8933216 10887357 13024128 13399824 14516476 17866432 21774714 26799648 29032952 35732864 43549428 53599296 58065904 87098856 107198592 116131808 174197712 232263616 348395424 464527232 696790848 1393581696