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132090012 = 223223295501
BaseRepresentation
bin1111101111110…
…00100010011100
3100012112212102200
413313320202130
5232303340022
621035051500
73162514035
oct767704234
9305485380
10132090012
116861a1aa
12382a0b90
132149ab92
1413785a8c
15b8e2bac
hex7df889c

132090012 has 72 divisors (see below), whose sum is σ = 360491040. Its totient is φ = 40656000.

The previous prime is 132090011. The next prime is 132090047. The reversal of 132090012 is 210090231.

It is a happy number.

132090012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132090011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21262 + ... + 26762.

It is an arithmetic number, because the mean of its divisors is an integer number (5006820).

Almost surely, 2132090012 is an apocalyptic number.

132090012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132090012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180245520).

132090012 is an abundant number, since it is smaller than the sum of its proper divisors (228401028).

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

132090012 is a wasteful number, since it uses less digits than its factorization.

132090012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5563 (or 5558 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 132090012 is about 11493.0418949902. The cubic root of 132090012 is about 509.2800452658.

The spelling of 132090012 in words is "one hundred thirty-two million, ninety thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 29 36 46 58 69 87 92 116 138 174 207 261 276 348 414 522 667 828 1044 1334 2001 2668 4002 5501 6003 8004 11002 12006 16503 22004 24012 33006 49509 66012 99018 126523 159529 198036 253046 319058 379569 478587 506092 638116 759138 957174 1138707 1435761 1518276 1914348 2277414 2871522 3669167 4554828 5743044 7338334 11007501 14676668 22015002 33022503 44030004 66045006 132090012