Search a number
-
+
164645064 = 23322978853
BaseRepresentation
bin10011101000001…
…00100011001000
3102110210211120100
421310010203020
5314122120224
624200525400
74036313523
oct1164044310
9373724510
10164645064
1184a35301
1247180860
1328158b1c
1417c1bbba
15e6c3ac9
hex9d048c8

164645064 has 48 divisors (see below), whose sum is σ = 461295900. Its totient is φ = 52988544.

The previous prime is 164645059. The next prime is 164645069. The reversal of 164645064 is 460546461.

164645064 is a `hidden beast` number, since 1 + 6 + 4 + 645 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (164645059) and next prime (164645069).

It can be written as a sum of positive squares in 2 ways, for example, as 152324964 + 12320100 = 12342^2 + 3510^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (164645069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37339 + ... + 41514.

Almost surely, 2164645064 is an apocalyptic number.

It is an amenable number.

164645064 is an abundant number, since it is smaller than the sum of its proper divisors (296650836).

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

164645064 is a wasteful number, since it uses less digits than its factorization.

164645064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78894 (or 78887 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 164645064 is about 12831.4092756797. The cubic root of 164645064 is about 548.0870890058.

It can be divided in two parts, 16464 and 5064, that added together give a triangular number (21528 = T207).

The spelling of 164645064 in words is "one hundred sixty-four million, six hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 78853 157706 236559 315412 473118 630824 709677 946236 1419354 1892472 2286737 2838708 4573474 5677416 6860211 9146948 13720422 18293896 20580633 27440844 41161266 54881688 82322532 164645064