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166464 = 2632172
BaseRepresentation
bin101000101001000000
322110100100
4220221000
520311324
63322400
71262214
oct505100
9273310
10166464
11104081
1280400
135a9cc
1444944
15344c9
hex28a40

166464 has 63 divisors (see below), whose sum is σ = 506857. Its totient is φ = 52224.

The previous prime is 166457. The next prime is 166471. The reversal of 166464 is 464661.

166464 = T407 + T408.

The square root of 166464 is 408.

It is a perfect power (a square), and thus also a powerful number.

166464 is a `hidden beast` number, since 16 + 646 + 4 = 666.

166464 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (166457) and next prime (166471).

It can be written as a sum of positive squares in only one way, i.e., 129600 + 36864 = 360^2 + 192^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

166464 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9784 + ... + 9800.

2166464 is an apocalyptic number.

166464 is the 408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166464

166464 is an abundant number, since it is smaller than the sum of its proper divisors (340393).

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

166464 is a wasteful number, since it uses less digits than its factorization.

166464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 22 counting only the distinct ones).

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

The cubic root of 166464 is about 55.0098054143.

It can be divided in two parts, 1664 and 64, that added together give a cube (1728 = 123).

The spelling of 166464 in words is "one hundred sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 289 306 408 544 576 578 612 816 867 1088 1156 1224 1632 1734 2312 2448 2601 3264 3468 4624 4896 5202 6936 9248 9792 10404 13872 18496 20808 27744 41616 55488 83232 166464