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164114660 = 22523438297
BaseRepresentation
bin10011100100000…
…11000011100100
3102102210212222202
421302003003210
5314003132120
624141314032
74031644253
oct1162030344
9372725882
10164114660
1184702856
1246b65918
1328001588
1417b2079a
15e61b875
hex9c830e4

164114660 has 48 divisors (see below), whose sum is σ = 368032896. Its totient is φ = 61324032.

The previous prime is 164114653. The next prime is 164114663. The reversal of 164114660 is 66411461.

It is not an unprimeable number, because it can be changed into a prime (164114663) 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, 15632 + ... + 23928.

It is an arithmetic number, because the mean of its divisors is an integer number (7667352).

Almost surely, 2164114660 is an apocalyptic number.

164114660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164114660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184016448).

164114660 is an abundant number, since it is smaller than the sum of its proper divisors (203918236).

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

164114660 is a wasteful number, since it uses less digits than its factorization.

164114660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 164114660 is about 12810.7244135529. The cubic root of 164114660 is about 547.4979017594.

The spelling of 164114660 in words is "one hundred sixty-four million, one hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 860 989 1978 3956 4945 8297 9890 16594 19780 33188 41485 82970 165940 190831 356771 381662 713542 763324 954155 1427084 1783855 1908310 3567710 3816620 7135420 8205733 16411466 32822932 41028665 82057330 164114660