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33138980 = 2257236707
BaseRepresentation
bin111111001101…
…0100100100100
32022100122010122
41332122210210
531440421410
63142141112
7551451050
oct176324444
968318118
1033138980
1117784896
12b121798
136b33984
144588c60
152d98e55
hex1f9a924

33138980 has 24 divisors (see below), whose sum is σ = 79533888. Its totient is φ = 11361888.

The previous prime is 33138971. The next prime is 33138991. The reversal of 33138980 is 8983133.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 33138980.

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 7 ways as a sum of consecutive naturals, for example, 118214 + ... + 118493.

It is an arithmetic number, because the mean of its divisors is an integer number (3313912).

Almost surely, 233138980 is an apocalyptic number.

It is an amenable number.

33138980 is an abundant number, since it is smaller than the sum of its proper divisors (46394908).

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

33138980 is a wasteful number, since it uses less digits than its factorization.

33138980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236723 (or 236721 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 33138980 is about 5756.6465932868. The cubic root of 33138980 is about 321.2030883267.

The spelling of 33138980 in words is "thirty-three million, one hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 236707 473414 946828 1183535 1656949 2367070 3313898 4734140 6627796 8284745 16569490 33138980