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1683708672 = 2837927751
BaseRepresentation
bin110010001011011…
…0101101100000000
311100100012021002110
41210112311230000
511422012134142
6435023415320
756503200432
oct14426655400
94310167073
101683708672
11794456278
123aba54540
1320aa94229
1411d884652
159cc3699c
hex645b5b00

1683708672 has 72 divisors (see below), whose sum is σ = 4538007040. Its totient is φ = 554112000.

The previous prime is 1683708671. The next prime is 1683708703. The reversal of 1683708672 is 2768073861.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1683708671) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 46797 + ... + 74547.

Almost surely, 21683708672 is an apocalyptic number.

1683708672 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 1683708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269003520).

1683708672 is an abundant number, since it is smaller than the sum of its proper divisors (2854298368).

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

1683708672 is an equidigital number, since it uses as much as digits as its factorization.

1683708672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27849 (or 27835 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 1683708672 is about 41033.0192893479. The cubic root of 1683708672 is about 1189.6585118111.

The spelling of 1683708672 in words is "one billion, six hundred eighty-three million, seven hundred eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2528 3792 5056 7584 10112 15168 20224 27751 30336 55502 60672 83253 111004 166506 222008 333012 444016 666024 888032 1332048 1776064 2192329 2664096 3552128 4384658 5328192 6576987 7104256 8769316 10656384 13153974 17538632 21312768 26307948 35077264 52615896 70154528 105231792 140309056 210463584 280618112 420927168 561236224 841854336 1683708672