Search a number
-
+
164454420 = 223513210839
BaseRepresentation
bin10011100110101…
…10000000010100
3102110110011001110
421303112000110
5314100020140
624152455020
74034560644
oct1163260024
9373404043
10164454420
1184915049
12470aa470
13280c0110
1417bac524
15e687380
hex9cd6014

164454420 has 48 divisors (see below), whose sum is σ = 495895680. Its totient is φ = 40480896.

The previous prime is 164454397. The next prime is 164454421. The reversal of 164454420 is 24454461.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164454421) 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 15 ways as a sum of consecutive naturals, for example, 104640 + ... + 106199.

It is an arithmetic number, because the mean of its divisors is an integer number (10331160).

Almost surely, 2164454420 is an apocalyptic number.

164454420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164454420 is an abundant number, since it is smaller than the sum of its proper divisors (331441260).

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

164454420 is a wasteful number, since it uses less digits than its factorization.

164454420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210864 (or 210862 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 164454420 is about 12823.9783218781. The cubic root of 164454420 is about 547.8754623138.

The spelling of 164454420 in words is "one hundred sixty-four million, four hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 210839 421678 632517 843356 1054195 1265034 2108390 2530068 2740907 3162585 4216780 5481814 6325170 8222721 10963628 12650340 13704535 16445442 27409070 32890884 41113605 54818140 82227210 164454420