Search a number
-
+
166492560 = 243513174373
BaseRepresentation
bin10011110110001…
…11100110010000
3102121021200212010
421323013212100
5320110230220
624304302520
74061110023
oct1173074620
9377250763
10166492560
1185a87363
1247911a40
1328654a10
141817d1ba
15e93b1e0
hex9ec7990

166492560 has 320 divisors, whose sum is σ = 610460928. Its totient is φ = 37158912.

The previous prime is 166492559. The next prime is 166492589. The reversal of 166492560 is 65294661.

166492560 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2280684 + ... + 2280756.

Almost surely, 2166492560 is an apocalyptic number.

166492560 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 166492560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305230464).

166492560 is an abundant number, since it is smaller than the sum of its proper divisors (443968368).

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

166492560 is a wasteful number, since it uses less digits than its factorization.

166492560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 166492560 is about 12903.1996031992. The cubic root of 166492560 is about 550.1295122002.

The spelling of 166492560 in words is "one hundred sixty-six million, four hundred ninety-two thousand, five hundred sixty".