Search a number
-
+
32506980 = 22351149253
BaseRepresentation
bin111110000000…
…0010001100100
32021011112012020
41330000101210
531310210410
63120423140
7543206352
oct174002144
967145166
1032506980
1117392a80
12aa77ab0
1369720cc
1444627d2
152cc1a70
hex1f00464

32506980 has 48 divisors (see below), whose sum is σ = 99296064. Its totient is φ = 7880320.

The previous prime is 32506963. The next prime is 32506987. The reversal of 32506980 is 8960523.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (32506987) 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, 23967 + ... + 25286.

It is an arithmetic number, because the mean of its divisors is an integer number (2068668).

Almost surely, 232506980 is an apocalyptic number.

32506980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32506980 is an abundant number, since it is smaller than the sum of its proper divisors (66789084).

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

32506980 is a wasteful number, since it uses less digits than its factorization.

32506980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49276 (or 49274 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 32506980 is about 5701.4892791270. The cubic root of 32506980 is about 319.1480594000.

The spelling of 32506980 in words is "thirty-two million, five hundred six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 49253 98506 147759 197012 246265 295518 492530 541783 591036 738795 985060 1083566 1477590 1625349 2167132 2708915 2955180 3250698 5417830 6501396 8126745 10835660 16253490 32506980