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132951120 = 2435553963
BaseRepresentation
bin1111110110010…
…10110001010000
3100021011121122120
413323022301100
5233013413440
621105334240
73203031411
oct773126120
9307147576
10132951120
1169058165
1238637380
132170cb03
141392b808
15ba12dd0
hex7ecac50

132951120 has 40 divisors (see below), whose sum is σ = 412149216. Its totient is φ = 35453568.

The previous prime is 132951103. The next prime is 132951127. The reversal of 132951120 is 21159231.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132951127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 276742 + ... + 277221.

Almost surely, 2132951120 is an apocalyptic number.

132951120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132951120 is an abundant number, since it is smaller than the sum of its proper divisors (279198096).

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

132951120 is a wasteful number, since it uses less digits than its factorization.

132951120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553979 (or 553973 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 132951120 is about 11530.4431831565. The cubic root of 132951120 is about 510.3843315978.

The spelling of 132951120 in words is "one hundred thirty-two million, nine hundred fifty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 553963 1107926 1661889 2215852 2769815 3323778 4431704 5539630 6647556 8309445 8863408 11079260 13295112 16618890 22158520 26590224 33237780 44317040 66475560 132951120