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132110528 = 26112341199
BaseRepresentation
bin1111101111111…
…01100011000000
3100012120220120112
413313331203000
5232310014103
621035330452
73162630614
oct767754300
9305526515
10132110528
1168633660
12382b0a28
13214a7314
141378d344
15b8e8cd8
hex7dfd8c0

132110528 has 112 divisors (see below), whose sum is σ = 307238400. Its totient is φ = 55756800.

The previous prime is 132110513. The next prime is 132110543. The reversal of 132110528 is 825011231.

It is a happy number.

132110528 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132110513) and next prime (132110543).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663773 + ... + 663971.

It is an arithmetic number, because the mean of its divisors is an integer number (2743200).

Almost surely, 2132110528 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 132110528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153619200).

132110528 is an abundant number, since it is smaller than the sum of its proper divisors (175127872).

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

132110528 is a wasteful number, since it uses less digits than its factorization.

132110528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 132110528 is about 11493.9344003696. The cubic root of 132110528 is about 509.3064107428.

Adding to 132110528 its reverse (825011231), we get a palindrome (957121759).

The spelling of 132110528 in words is "one hundred thirty-two million, one hundred ten thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 23 32 41 44 46 64 82 88 92 164 176 184 199 253 328 352 368 398 451 506 656 704 736 796 902 943 1012 1312 1472 1592 1804 1886 2024 2189 2624 3184 3608 3772 4048 4378 4577 6368 7216 7544 8096 8159 8756 9154 10373 12736 14432 15088 16192 16318 17512 18308 20746 28864 30176 32636 35024 36616 41492 50347 60352 65272 70048 73232 82984 89749 100694 130544 140096 146464 165968 179498 187657 201388 261088 292928 331936 358996 375314 402776 522176 663872 717992 750628 805552 1435984 1501256 1611104 2064227 2871968 3002512 3222208 4128454 5743936 6005024 8256908 12010048 16513816 33027632 66055264 132110528