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667790460 = 223355323333
BaseRepresentation
bin100111110011011…
…010110001111100
31201112120021022000
4213303122301330
52331423243320
6150133022300
722356060651
oct4763326174
91645507260
10667790460
11312a4a947
12167784990
13a84727ac
1464991c28
153d95dc90
hex27cdac7c

667790460 has 96 divisors (see below), whose sum is σ = 2116860480. Its totient is φ = 174710016.

The previous prime is 667790381. The next prime is 667790477. The reversal of 667790460 is 64097766.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16954 + ... + 40286.

It is an arithmetic number, because the mean of its divisors is an integer number (22050630).

Almost surely, 2667790460 is an apocalyptic number.

667790460 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 667790460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058430240).

667790460 is an abundant number, since it is smaller than the sum of its proper divisors (1449070020).

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

667790460 is a wasteful number, since it uses less digits than its factorization.

667790460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23404 (or 23396 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 667790460 is about 25841.6419756950. The cubic root of 667790460 is about 874.0710511318.

The spelling of 667790460 in words is "six hundred sixty-seven million, seven hundred ninety thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 23333 28620 46666 69999 93332 116665 139998 209997 233330 279996 349995 419994 466660 629991 699990 839988 1049985 1236649 1259982 1399980 2099970 2473298 2519964 3149955 3709947 4199940 4946596 6183245 6299910 7419894 11129841 12366490 12599820 14839788 18549735 22259682 24732980 33389523 37099470 44519364 55649205 66779046 74198940 111298410 133558092 166947615 222596820 333895230 667790460