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166115660 = 225233311091
BaseRepresentation
bin10011110011010…
…11100101001100
3102120120112211212
421321223211030
5320011200120
624252233552
74054650134
oct1171534514
9376515755
10166115660
118584a177
124776b8b8
13285522b9
14180c1ac4
15e8b46c5
hex9e6b94c

166115660 has 48 divisors (see below), whose sum is σ = 365444352. Its totient is φ = 63307200.

The previous prime is 166115657. The next prime is 166115669. The reversal of 166115660 is 66511661.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (166115669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151715 + ... + 152805.

It is an arithmetic number, because the mean of its divisors is an integer number (7613424).

Almost surely, 2166115660 is an apocalyptic number.

166115660 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 166115660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182722176).

166115660 is an abundant number, since it is smaller than the sum of its proper divisors (199328692).

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

166115660 is a wasteful number, since it uses less digits than its factorization.

166115660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 166115660 is about 12888.5864236541. The cubic root of 166115660 is about 549.7140772814.

The spelling of 166115660 in words is "one hundred sixty-six million, one hundred fifteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 331 460 662 1091 1324 1655 2182 3310 4364 5455 6620 7613 10910 15226 21820 25093 30452 38065 50186 76130 100372 125465 152260 250930 361121 501860 722242 1444484 1805605 3611210 7222420 8305783 16611566 33223132 41528915 83057830 166115660