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664040460 = 2235312291559
BaseRepresentation
bin100111100101000…
…111010000001100
31201021111202021010
4213211013100030
52324443243320
6145520405220
722312152006
oct4745072014
91637452233
10664040460
11310919476
12166476810
13a775b965
1464297376
153d46cae0
hex2794740c

664040460 has 96 divisors (see below), whose sum is σ = 1928908800. Its totient is φ = 170507520.

The previous prime is 664040437. The next prime is 664040467. The reversal of 664040460 is 64040466.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (664040467) 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 31 ways as a sum of consecutive naturals, for example, 425161 + ... + 426719.

It is an arithmetic number, because the mean of its divisors is an integer number (20092800).

Almost surely, 2664040460 is an apocalyptic number.

664040460 is a gapful number since it is divisible by the number (60) 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 664040460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (964454400).

664040460 is an abundant number, since it is smaller than the sum of its proper divisors (1264868340).

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

664040460 is a wasteful number, since it uses less digits than its factorization.

664040460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1829 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 664040460 is about 25768.9825177480. The cubic root of 664040460 is about 872.4318537483.

The spelling of 664040460 in words is "six hundred sixty-four million, forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 229 310 372 458 465 620 687 916 930 1145 1374 1559 1860 2290 2748 3118 3435 4580 4677 6236 6870 7099 7795 9354 13740 14198 15590 18708 21297 23385 28396 31180 35495 42594 46770 48329 70990 85188 93540 96658 106485 141980 144987 193316 212970 241645 289974 357011 425940 483290 579948 714022 724935 966580 1071033 1428044 1449870 1785055 2142066 2899740 3570110 4284132 5355165 7140220 10710330 11067341 21420660 22134682 33202023 44269364 55336705 66404046 110673410 132808092 166010115 221346820 332020230 664040460