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132393012 = 22366116691
BaseRepresentation
bin1111110010000…
…10100000110100
3100020010021001220
413321002200310
5232343034022
621045350340
73165215313
oct771024064
9306107056
10132393012
1168806914
12384083b0
1321575a7b
141382427a
15b95285c
hex7e42834

132393012 has 24 divisors (see below), whose sum is σ = 309402912. Its totient is φ = 44061600.

The previous prime is 132392989. The next prime is 132393013. The reversal of 132393012 is 210393231.

It is a super-3 number, since 3×1323930123 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132393013) 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, 414 + ... + 16277.

It is an arithmetic number, because the mean of its divisors is an integer number (12891788).

Almost surely, 2132393012 is an apocalyptic number.

132393012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132393012 is an abundant number, since it is smaller than the sum of its proper divisors (177009900).

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

132393012 is a wasteful number, since it uses less digits than its factorization.

132393012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17359 (or 17357 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 132393012 is about 11506.2162329760. The cubic root of 132393012 is about 509.6691587449.

The spelling of 132393012 in words is "one hundred thirty-two million, three hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 12 661 1322 1983 2644 3966 7932 16691 33382 50073 66764 100146 200292 11032751 22065502 33098253 44131004 66196506 132393012