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132234912 = 25322319963
BaseRepresentation
bin1111110000110…
…11111010100000
3100012211020012100
413320123322200
5232323004122
621042130400
73163656345
oct770337240
9305736170
10132234912
1168709057
1238350a00
132151bb14
14137c27cc
15b920aac
hex7e1bea0

132234912 has 72 divisors (see below), whose sum is σ = 392412384. Its totient is φ = 42159744.

The previous prime is 132234911. The next prime is 132234913. The reversal of 132234912 is 219432231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132234911) and next prime (132234913).

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (132234911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3358 + ... + 16605.

It is an arithmetic number, because the mean of its divisors is an integer number (5450172).

Almost surely, 2132234912 is an apocalyptic number.

132234912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132234912 is an abundant number, since it is smaller than the sum of its proper divisors (260177472).

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

132234912 is a wasteful number, since it uses less digits than its factorization.

132234912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20002 (or 19991 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 132234912 is about 11499.3439812887. The cubic root of 132234912 is about 509.4662004240.

The spelling of 132234912 in words is "one hundred thirty-two million, two hundred thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 19963 39926 59889 79852 119778 159704 179667 239556 319408 359334 459149 479112 638816 718668 918298 958224 1377447 1437336 1836596 1916448 2754894 2874672 3673192 4132341 5509788 5749344 7346384 8264682 11019576 14692768 16529364 22039152 33058728 44078304 66117456 132234912