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133980420 = 22357319001
BaseRepresentation
bin1111111110001…
…10000100000100
3100100002220120210
413333012010010
5233244333140
621143355420
73214546320
oct777060404
9310086523
10133980420
11696a0522
1238a52b70
13219b0472
1413b18980
15bb67d80
hex7fc6104

133980420 has 48 divisors (see below), whose sum is σ = 428738688. Its totient is φ = 30624000.

The previous prime is 133980397. The next prime is 133980523. The reversal of 133980420 is 24089331.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 15 ways as a sum of consecutive naturals, for example, 159081 + ... + 159920.

It is an arithmetic number, because the mean of its divisors is an integer number (8932056).

Almost surely, 2133980420 is an apocalyptic number.

133980420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133980420 is an abundant number, since it is smaller than the sum of its proper divisors (294758268).

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

133980420 is a wasteful number, since it uses less digits than its factorization.

133980420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319020 (or 319018 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 133980420 is about 11574.9911447050. The cubic root of 133980420 is about 511.6980692576.

The spelling of 133980420 in words is "one hundred thirty-three million, nine hundred eighty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 319001 638002 957003 1276004 1595005 1914006 2233007 3190010 3828012 4466014 4785015 6380020 6699021 8932028 9570030 11165035 13398042 19140060 22330070 26796084 33495105 44660140 66990210 133980420