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133992120 = 23351116601
BaseRepresentation
bin1111111110010…
…00111010111000
3100100010111122010
413333020322320
5233300221440
621143525520
73214625403
oct777107270
9310114563
10133992120
11696a9299
1238a598a0
13219b58a2
1413b1cd3a
15bb6b580
hex7fc8eb8

133992120 has 32 divisors (see below), whose sum is σ = 401976720. Its totient is φ = 35731200.

The previous prime is 133992101. The next prime is 133992143. The reversal of 133992120 is 21299331.

It is a happy number.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 558181 + ... + 558420.

Almost surely, 2133992120 is an apocalyptic number.

133992120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133992120 is an abundant number, since it is smaller than the sum of its proper divisors (267984600).

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

133992120 is a wasteful number, since it uses less digits than its factorization.

133992120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116615 (or 1116611 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 133992120 is about 11575.4965336265. The cubic root of 133992120 is about 511.7129637055.

The spelling of 133992120 in words is "one hundred thirty-three million, nine hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1116601 2233202 3349803 4466404 5583005 6699606 8932808 11166010 13399212 16749015 22332020 26798424 33498030 44664040 66996060 133992120