Search a number
-
+
960796080 = 24345672213
BaseRepresentation
bin111001010001001…
…001010110110000
32110221220111110000
4321101021112300
53431430433310
6235201110000
732544426516
oct7121112660
92427814400
10960796080
11453387352
12229928300
13124091aba
14918644b6
155953a4c0
hex394495b0

960796080 has 200 divisors, whose sum is σ = 3388323312. Its totient is φ = 252274176.

The previous prime is 960796073. The next prime is 960796093. The reversal of 960796080 is 80697069.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 433054 + ... + 435266.

Almost surely, 2960796080 is an apocalyptic number.

960796080 is a gapful number since it is divisible by the number (90) 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 960796080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694161656).

960796080 is an abundant number, since it is smaller than the sum of its proper divisors (2427527232).

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

960796080 is a wasteful number, since it uses less digits than its factorization.

960796080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2305 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 960796080 is about 30996.7107932439. The cubic root of 960796080 is about 986.7574352417.

The spelling of 960796080 in words is "nine hundred sixty million, seven hundred ninety-six thousand, eighty".