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132993234 = 23211897547
BaseRepresentation
bin1111110110101…
…01000011010010
3100021020202102100
413323111003102
5233021240414
621110301230
73203265243
oct773250322
9307222370
10132993234
1169086870
1238657816
132172602a
141393ccca
15ba20609
hex7ed50d2

132993234 has 48 divisors (see below), whose sum is σ = 317921760. Its totient is φ = 39842880.

The previous prime is 132993233. The next prime is 132993247. The reversal of 132993234 is 432399231.

132993234 is a `hidden beast` number, since 1 + 329 + 9 + 323 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (132993233) 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, 13849 + ... + 21395.

It is an arithmetic number, because the mean of its divisors is an integer number (6623370).

Almost surely, 2132993234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132993234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158960880).

132993234 is an abundant number, since it is smaller than the sum of its proper divisors (184928526).

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

132993234 is a wasteful number, since it uses less digits than its factorization.

132993234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655 (or 7652 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 132993234 is about 11532.2692476373. The cubic root of 132993234 is about 510.4382162049.

The spelling of 132993234 in words is "one hundred thirty-two million, nine hundred ninety-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2937 5874 7547 8811 15094 17622 22641 45282 67923 83017 135846 166034 249051 498102 671683 747153 1343366 1494306 2015049 4030098 6045147 7388513 12090294 14777026 22165539 44331078 66496617 132993234