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6840976320 = 263252375339
BaseRepresentation
bin1100101111100000…
…10000001111000000
3122122202111121022100
412113300100033000
5103002242220240
63050453510400
7331345224243
oct62760201700
918582447270
106840976320
1129a0609842
1213ab042400
138503979a9
1448c7a325a
152a08a5e30
hex197c103c0

6840976320 has 84 divisors (see below), whose sum is σ = 23530118040. Its totient is φ = 1824259584.

The previous prime is 6840976301. The next prime is 6840976327. The reversal of 6840976320 is 236790486.

6840976320 is a `hidden beast` number, since 6 + 8 + 4 + 0 + 9 + 7 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6840976327) 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 11 ways as a sum of consecutive naturals, for example, 1184790 + ... + 1190549.

Almost surely, 26840976320 is an apocalyptic number.

6840976320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6840976320 is an abundant number, since it is smaller than the sum of its proper divisors (16689141720).

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

6840976320 is a wasteful number, since it uses less digits than its factorization.

6840976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375362 (or 2375349 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 6840976320 is about 82710.1947767021. The cubic root of 6840976320 is about 1898.3343037600.

The spelling of 6840976320 in words is "six billion, eight hundred forty million, nine hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 2375339 4750678 7126017 9501356 11876695 14252034 19002712 21378051 23753390 28504068 35630085 38005424 42756102 47506780 57008136 71260170 76010848 85512204 95013560 106890255 114016272 142520340 152021696 171024408 190027120 213780510 228032544 285040680 342048816 380054240 427561020 456065088 570081360 684097632 760108480 855122040 1140162720 1368195264 1710244080 2280325440 3420488160 6840976320