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164163380 = 225101181449
BaseRepresentation
bin10011100100011…
…10111100110100
3102102220100211012
421302032330310
5314011212010
624142331352
74032236303
oct1162167464
9372810735
10164163380
1184736417
1246b89b58
132801a7c4
1417b3443a
15e62b005
hex9c8ef34

164163380 has 48 divisors (see below), whose sum is σ = 350859600. Its totient is φ = 64512000.

The previous prime is 164163371. The next prime is 164163409. The reversal of 164163380 is 83361461.

164163380 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 630436 + 163532944 = 794^2 + 12788^2 .

It is a super-3 number, since 3×1641633803 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365396 + ... + 365844.

It is an arithmetic number, because the mean of its divisors is an integer number (7309575).

Almost surely, 2164163380 is an apocalyptic number.

164163380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164163380 is an abundant number, since it is smaller than the sum of its proper divisors (186696220).

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

164163380 is a wasteful number, since it uses less digits than its factorization.

164163380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 164163380 is about 12812.6258042604. The cubic root of 164163380 is about 547.5520741668.

The spelling of 164163380 in words is "one hundred sixty-four million, one hundred sixty-three thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 101 181 202 362 404 449 505 724 898 905 1010 1796 1810 2020 2245 3620 4490 8980 18281 36562 45349 73124 81269 90698 91405 162538 181396 182810 226745 325076 365620 406345 453490 812690 906980 1625380 8208169 16416338 32832676 41040845 82081690 164163380