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1383657696 = 253215131817
BaseRepresentation
bin101001001111000…
…1111000011100000
310120102121002112100
41102132033003200
510313204021241
6345144330400
746200616311
oct12236170340
93512532470
101383657696
11650047563
12327473a00
13190879185
14d1a9a608
15817179b6
hex5278f0e0

1383657696 has 72 divisors (see below), whose sum is σ = 3960959184. Its totient is φ = 458150400.

The previous prime is 1383657683. The next prime is 1383657701. The reversal of 1383657696 is 6967563831.

1383657696 is a `hidden beast` number, since 1 + 38 + 36 + 576 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27580 + ... + 59396.

It is an arithmetic number, because the mean of its divisors is an integer number (55013322).

Almost surely, 21383657696 is an apocalyptic number.

1383657696 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 1383657696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980479592).

1383657696 is an abundant number, since it is smaller than the sum of its proper divisors (2577301488).

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

1383657696 is a wasteful number, since it uses less digits than its factorization.

1383657696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31984 (or 31973 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 1383657696 is about 37197.5495967140. The cubic root of 1383657696 is about 1114.3190479744.

The spelling of 1383657696 in words is "one billion, three hundred eighty-three million, six hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 151 288 302 453 604 906 1208 1359 1812 2416 2718 3624 4832 5436 7248 10872 14496 21744 31817 43488 63634 95451 127268 190902 254536 286353 381804 509072 572706 763608 1018144 1145412 1527216 2290824 3054432 4581648 4804367 9163296 9608734 14413101 19217468 28826202 38434936 43239303 57652404 76869872 86478606 115304808 153739744 172957212 230609616 345914424 461219232 691828848 1383657696