Search a number
-
+
164764020 = 22357138677
BaseRepresentation
bin10011101001000…
…01100101110100
3102111000212202010
421310201211310
5314134422040
624203244220
74040320401
oct1164414564
9374025663
10164764020
1185006713
1247219670
132819b005
1417c4d2a8
15e6e8e80
hex9d21974

164764020 has 48 divisors (see below), whose sum is σ = 467849088. Its totient is φ = 43317120.

The previous prime is 164764013. The next prime is 164764031. The reversal of 164764020 is 20467461.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15079 + ... + 23598.

It is an arithmetic number, because the mean of its divisors is an integer number (9746856).

Almost surely, 2164764020 is an apocalyptic number.

164764020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164764020 is an abundant number, since it is smaller than the sum of its proper divisors (303085068).

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

164764020 is a wasteful number, since it uses less digits than its factorization.

164764020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38760 (or 38758 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 164764020 is about 12836.0437830353. The cubic root of 164764020 is about 548.2190548046.

The spelling of 164764020 in words is "one hundred sixty-four million, seven hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 38677 77354 116031 154708 193385 232062 386770 464124 580155 773540 1160310 2320620 2746067 5492134 8238201 10984268 13730335 16476402 27460670 32952804 41191005 54921340 82382010 164764020