Search a number
-
+
164253780 = 22325912521
BaseRepresentation
bin10011100101001…
…01000001010100
3102110001221211100
421302211001110
5314022110110
624144310100
74033063665
oct1162450124
9373057740
10164253780
1184798329
1247012330
132804c9b2
1417b5936c
15e647bc0
hex9ca5054

164253780 has 36 divisors (see below), whose sum is σ = 498237012. Its totient is φ = 43800960.

The previous prime is 164253769. The next prime is 164253781. The reversal of 164253780 is 87352461.

164253780 is a `hidden beast` number, since 1 + 6 + 42 + 537 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 111894084 = 7236^2 + 10578^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164253781) 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, 456081 + ... + 456440.

It is an arithmetic number, because the mean of its divisors is an integer number (13839917).

Almost surely, 2164253780 is an apocalyptic number.

164253780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164253780 is an abundant number, since it is smaller than the sum of its proper divisors (333983232).

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

164253780 is a wasteful number, since it uses less digits than its factorization.

164253780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912536 (or 912531 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 164253780 is about 12816.1530889733. The cubic root of 164253780 is about 547.6525627257.

The spelling of 164253780 in words is "one hundred sixty-four million, two hundred fifty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 912521 1825042 2737563 3650084 4562605 5475126 8212689 9125210 10950252 13687815 16425378 18250420 27375630 32850756 41063445 54751260 82126890 164253780