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6840000072 = 233340517817
BaseRepresentation
bin1100101111011001…
…00001111001001000
3122122200200000011000
412113230201321020
5103002020000242
63050420535000
7331334020113
oct62754417110
918580600130
106840000072
1129a0002324
1213aa851460
13850115529
1448c5cb57a
152a0761a4c
hex197b21e48

6840000072 has 64 divisors (see below), whose sum is σ = 19007121600. Its totient is φ = 2279145600.

The previous prime is 6840000043. The next prime is 6840000113. The reversal of 6840000072 is 2700000486.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 871108 + ... + 878924.

It is an arithmetic number, because the mean of its divisors is an integer number (296986275).

Almost surely, 26840000072 is an apocalyptic number.

It is an amenable number.

6840000072 is an abundant number, since it is smaller than the sum of its proper divisors (12167121528).

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

6840000072 is a wasteful number, since it uses less digits than its factorization.

6840000072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883 (or 11873 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 6840000072 is about 82704.2929478271. The cubic root of 6840000072 is about 1898.2439982664.

The spelling of 6840000072 in words is "six billion, eight hundred forty million, seventy-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 4051 7817 8102 12153 15634 16204 23451 24306 31268 32408 36459 46902 48612 62536 70353 72918 93804 97224 109377 140706 145836 187608 211059 218754 281412 291672 422118 437508 562824 844236 875016 1688472 31666667 63333334 95000001 126666668 190000002 253333336 285000003 380000004 570000006 760000008 855000009 1140000012 1710000018 2280000024 3420000036 6840000072