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132869824 = 2617971259
BaseRepresentation
bin1111110101101…
…10111011000000
3100021000111010121
413322312323000
5233003313244
621103510024
73202242403
oct772667300
9307014117
10132869824
116900207a
12385b8314
13216b1ac9
1413909d3a
15b9e8c84
hex7eb6ec0

132869824 has 56 divisors (see below), whose sum is σ = 282275280. Its totient is φ = 61833216.

The previous prime is 132869797. The next prime is 132869833. The reversal of 132869824 is 428968231.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104907 + ... + 106165.

It is an arithmetic number, because the mean of its divisors is an integer number (5040630).

Almost surely, 2132869824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132869824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141137640).

132869824 is an abundant number, since it is smaller than the sum of its proper divisors (149405456).

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

132869824 is a wasteful number, since it uses less digits than its factorization.

132869824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1375 counting only the distinct ones).

The product of its digits is 165888, while the sum is 43.

The square root of 132869824 is about 11526.9173676226. The cubic root of 132869824 is about 510.2802816667.

The spelling of 132869824 in words is "one hundred thirty-two million, eight hundred sixty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 388 544 776 1088 1259 1552 1649 2518 3104 3298 5036 6208 6596 10072 13192 20144 21403 26384 40288 42806 52768 80576 85612 105536 122123 171224 244246 342448 488492 684896 976984 1369792 1953968 2076091 3907936 4152182 7815872 8304364 16608728 33217456 66434912 132869824