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1230684864 = 263411271231
BaseRepresentation
bin100100101011010…
…1100001011000000
310011202202021020220
41021112230023000
510010023403424
6322041503040
742332435343
oct11126541300
93152667226
101230684864
11581764832
122a41a1a80
13167c790c6
14b963a45a
157309c579
hex495ac2c0

1230684864 has 112 divisors (see below), whose sum is σ = 3364601856. Its totient is φ = 396748800.

The previous prime is 1230684863. The next prime is 1230684869. The reversal of 1230684864 is 4684860321.

It is not an unprimeable number, because it can be changed into a prime (1230684863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 999129 + ... + 1000359.

It is an arithmetic number, because the mean of its divisors is an integer number (30041088).

Almost surely, 21230684864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230684864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682300928).

1230684864 is an abundant number, since it is smaller than the sum of its proper divisors (2133916992).

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

1230684864 is a wasteful number, since it uses less digits than its factorization.

1230684864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 1230684864 is about 35081.1183402126. The cubic root of 1230684864 is about 1071.6400922935.

The spelling of 1230684864 in words is "one billion, two hundred thirty million, six hundred eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 127 164 192 246 254 328 381 492 508 656 762 984 1016 1231 1312 1524 1968 2032 2462 2624 3048 3693 3936 4064 4924 5207 6096 7386 7872 8128 9848 10414 12192 14772 15621 19696 20828 24384 29544 31242 39392 41656 50471 59088 62484 78784 83312 100942 118176 124968 151413 156337 166624 201884 236352 249936 302826 312674 333248 403768 469011 499872 605652 625348 807536 938022 999744 1211304 1250696 1615072 1876044 2422608 2501392 3230144 3752088 4845216 5002784 6409817 7504176 9690432 10005568 12819634 15008352 19229451 25639268 30016704 38458902 51278536 76917804 102557072 153835608 205114144 307671216 410228288 615342432 1230684864