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166149960 = 23351578819
BaseRepresentation
bin10011110011100…
…11111101001000
3102120122021220020
421321303331020
5320013244320
624253100440
74055152134
oct1171637510
9376567806
10166149960
1185872a19
1247787720
1328564ab2
14180d03c4
15e8be940
hex9e73f48

166149960 has 64 divisors (see below), whose sum is σ = 501681600. Its totient is φ = 44019456.

The previous prime is 166149947. The next prime is 166149967. The reversal of 166149960 is 69941661.

It is not an unprimeable number, because it can be changed into a prime (166149967) 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, 14431 + ... + 23249.

It is an arithmetic number, because the mean of its divisors is an integer number (7838775).

Almost surely, 2166149960 is an apocalyptic number.

166149960 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 166149960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250840800).

166149960 is an abundant number, since it is smaller than the sum of its proper divisors (335531640).

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

166149960 is a wasteful number, since it uses less digits than its factorization.

166149960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8990 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 166149960 is about 12889.9169896474. The cubic root of 166149960 is about 549.7519101489.

The spelling of 166149960 in words is "one hundred sixty-six million, one hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 314 471 628 785 942 1256 1570 1884 2355 3140 3768 4710 6280 8819 9420 17638 18840 26457 35276 44095 52914 70552 88190 105828 132285 176380 211656 264570 352760 529140 1058280 1384583 2769166 4153749 5538332 6922915 8307498 11076664 13845830 16614996 20768745 27691660 33229992 41537490 55383320 83074980 166149960