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868723680 = 253511164531
BaseRepresentation
bin110011110001111…
…010101111100000
32020112122201212010
4303301322233200
53234343124210
6222111432520
730346013046
oct6361725740
92215581763
10868723680
1140640aa60
12202b25740
1310ac957a6
1483538396
15513ee920
hex33c7abe0

868723680 has 96 divisors (see below), whose sum is σ = 2985268608. Its totient is φ = 210598400.

The previous prime is 868723679. The next prime is 868723717. The reversal of 868723680 is 86327868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76986 + ... + 87545.

It is an arithmetic number, because the mean of its divisors is an integer number (31096548).

Almost surely, 2868723680 is an apocalyptic number.

868723680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

868723680 is an abundant number, since it is smaller than the sum of its proper divisors (2116544928).

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

868723680 is a wasteful number, since it uses less digits than its factorization.

868723680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164560 (or 164552 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 868723680 is about 29474.1188163446. The cubic root of 868723680 is about 954.1732123991.

The spelling of 868723680 in words is "eight hundred sixty-eight million, seven hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 164531 329062 493593 658124 822655 987186 1316248 1645310 1809841 1974372 2467965 2632496 3290620 3619682 3948744 4935930 5264992 5429523 6581240 7239364 7897488 9049205 9871860 10859046 13162480 14478728 15794976 18098410 19743720 21718092 26324960 27147615 28957456 36196820 39487440 43436184 54295230 57914912 72393640 78974880 86872368 108590460 144787280 173744736 217180920 289574560 434361840 868723680