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132866244 = 2234728369
BaseRepresentation
bin1111110101101…
…10000011000100
3100021000022020000
413322312003010
5233003204434
621103441300
73202226100
oct772660304
9307008200
10132866244
1168aaa415
12385b6230
13216b02a4
1413908900
15b9e7b99
hex7eb60c4

132866244 has 90 divisors (see below), whose sum is σ = 404095230. Its totient is φ = 37957248.

The previous prime is 132866243. The next prime is 132866269. The reversal of 132866244 is 442668231.

132866244 is a `hidden beast` number, since 1 + 3 + 28 + 6 + 624 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 9922500 = 11088^2 + 3150^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132866199 and 132866208.

It is not an unprimeable number, because it can be changed into a prime (132866243) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11692 + ... + 20060.

It is an arithmetic number, because the mean of its divisors is an integer number (4489947).

Almost surely, 2132866244 is an apocalyptic number.

132866244 is a gapful number since it is divisible by the number (14) 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 132866244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202047615).

132866244 is an abundant number, since it is smaller than the sum of its proper divisors (271228986).

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

132866244 is a wasteful number, since it uses less digits than its factorization.

132866244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8399 (or 8381 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 132866244 is about 11526.7620778777. The cubic root of 132866244 is about 510.2756986853.

The spelling of 132866244 in words is "one hundred thirty-two million, eight hundred sixty-six thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 252 294 324 378 441 567 588 756 882 1134 1323 1764 2268 2646 3969 5292 7938 8369 15876 16738 25107 33476 50214 58583 75321 100428 117166 150642 175749 225963 234332 301284 351498 410081 451926 527247 677889 702996 820162 903852 1054494 1230243 1355778 1581741 1640324 2108988 2460486 2711556 3163482 3690729 4745223 4920972 6326964 7381458 9490446 11072187 14762916 18980892 22144374 33216561 44288748 66433122 132866244