Search a number
-
+
132648960 = 2123517127
BaseRepresentation
bin1111110100000…
…01000000000000
3100020121021011110
413322001000000
5232424231320
621055043320
73200332443
oct772010000
9306537143
10132648960
1168971144
1238510540
1321635412
141388d65a
15b9a35e0
hex7e81000

132648960 has 208 divisors, whose sum is σ = 452929536. Its totient is φ = 33030144.

The previous prime is 132648949. The next prime is 132649001. The reversal of 132648960 is 69846231.

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, 1044417 + ... + 1044543.

Almost surely, 2132648960 is an apocalyptic number.

132648960 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 132648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226464768).

132648960 is an abundant number, since it is smaller than the sum of its proper divisors (320280576).

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

132648960 is a wasteful number, since it uses less digits than its factorization.

132648960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 132648960 is about 11517.3330246199. Note that the first 3 decimals coincide. The cubic root of 132648960 is about 509.9973856075.

The spelling of 132648960 in words is "one hundred thirty-two million, six hundred forty-eight thousand, nine hundred sixty".