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46164060 = 22335531613
BaseRepresentation
bin1011000000011…
…0100001011100
310012212101012000
42300012201130
543304222220
64325242300
71100250045
oct260064134
9105771160
1046164060
1124070818
1213563390
139744417
1461b98cc
1540bd390
hex2c0685c

46164060 has 96 divisors (see below), whose sum is σ = 146422080. Its totient is φ = 12070656.

The previous prime is 46164047. The next prime is 46164067. The reversal of 46164060 is 6046164.

46164060 is a `hidden beast` number, since 4 + 616 + 40 + 6 + 0 = 666.

It is a super-2 number, since 2×461640602 = 4262240871367200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46164067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27814 + ... + 29426.

It is an arithmetic number, because the mean of its divisors is an integer number (1525230).

Almost surely, 246164060 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 46164060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73211040).

46164060 is an abundant number, since it is smaller than the sum of its proper divisors (100258020).

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

46164060 is a wasteful number, since it uses less digits than its factorization.

46164060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 46164060 is about 6794.4138820063. The cubic root of 46164060 is about 358.7302489662.

The spelling of 46164060 in words is "forty-six million, one hundred sixty-four thousand, 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 1613 1908 2385 2862 3180 3226 4770 4839 5724 6452 7155 8065 9540 9678 14310 14517 16130 19356 24195 28620 29034 32260 43551 48390 58068 72585 85489 87102 96780 145170 170978 174204 217755 256467 290340 341956 427445 435510 512934 769401 854890 871020 1025868 1282335 1538802 1709780 2308203 2564670 3077604 3847005 4616406 5129340 7694010 9232812 11541015 15388020 23082030 46164060