Search a number
32968080 = 2433515263
BaseRepresentation
bin111110111000…
…0110110010000
32022000221201000
41331300312100
531414434310
63134342000
7550136565
oct175606620
968027630
1032968080
1117678452
12b05a900
136aa3c52
14454286c
152d634c0
hex1f70d90

32968080 has 80 divisors (see below), whose sum is σ = 113564160. Its totient is φ = 8790912.

The previous prime is 32968063. The next prime is 32968081. The reversal of 32968080 is 8086923.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32968081) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5472 + ... + 9791.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 232968080 is an apocalyptic number.

32968080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32968080 is an abundant number, since it is smaller than the sum of its proper divisors (80596080).

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

32968080 is a wasteful number, since it uses less digits than its factorization.

32968080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15285 (or 15273 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 32968080 is about 5741.7836949854. The cubic root of 32968080 is about 320.6499809543.

The spelling of 32968080 in words is "thirty-two million, nine hundred sixty-eight thousand, eighty".