Search a number
-
+
164770128 = 24321960223
BaseRepresentation
bin10011101001000…
…11000101010000
3102111001012010100
421310203011100
5314140121003
624203332400
74040344245
oct1164430520
9374035110
10164770128
1185010266
1247221100
13281a0a23
1417c515cc
15e6eaba3
hex9d23150

164770128 has 60 divisors (see below), whose sum is σ = 485405440. Its totient is φ = 52031808.

The previous prime is 164770127. The next prime is 164770129. The reversal of 164770128 is 821077461.

164770128 is a `hidden beast` number, since 1 + 647 + 7 + 0 + 1 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (164770127) and next prime (164770129).

It is a super-2 number, since 2×1647701282 = 54298390162272768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 164770092 and 164770101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164770121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27376 + ... + 32847.

Almost surely, 2164770128 is an apocalyptic number.

164770128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

164770128 is an abundant number, since it is smaller than the sum of its proper divisors (320635312).

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

164770128 is a wasteful number, since it uses less digits than its factorization.

164770128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60256 (or 60247 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 164770128 is about 12836.2817046059. The cubic root of 164770128 is about 548.2258291004.

The spelling of 164770128 in words is "one hundred sixty-four million, seven hundred seventy thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 60223 120446 180669 240892 361338 481784 542007 722676 963568 1084014 1144237 1445352 2168028 2288474 2890704 3432711 4336056 4576948 6865422 8672112 9153896 10298133 13730844 18307792 20596266 27461688 41192532 54923376 82385064 164770128