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132857232 = 24337239313
BaseRepresentation
bin1111110101100…
…11110110010000
3100020222211212020
413322303312100
5233002412412
621103331440
73202160604
oct772636620
9306884766
10132857232
1168aa3672
12385b0b80
13216a9161
1413905504
15b9e518c
hex7eb3d90

132857232 has 80 divisors (see below), whose sum is σ = 355096320. Its totient is φ = 42771456.

The previous prime is 132857189. The next prime is 132857243. The reversal of 132857232 is 232758231.

It is a junction number, because it is equal to n+sod(n) for n = 132857193 and 132857202.

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, 424308 + ... + 424620.

It is an arithmetic number, because the mean of its divisors is an integer number (4438704).

Almost surely, 2132857232 is an apocalyptic number.

132857232 is a gapful number since it is divisible by the number (12) 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 132857232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177548160).

132857232 is an abundant number, since it is smaller than the sum of its proper divisors (222239088).

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

132857232 is a wasteful number, since it uses less digits than its factorization.

132857232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 594 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 132857232 is about 11526.3711548778. The cubic root of 132857232 is about 510.2641614971.

Subtracting 132857232 from its reverse (232758231), we obtain a palindrome (99900999).

It can be divided in two parts, 13 and 2857232, that added together give a triangular number (2857245 = T2390).

The spelling of 132857232 in words is "one hundred thirty-two million, eight hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 239 296 313 444 478 592 626 717 888 939 956 1252 1434 1776 1878 1912 2504 2868 3756 3824 5008 5736 7512 8843 11472 11581 15024 17686 23162 26529 34743 35372 46324 53058 69486 70744 74807 92648 106116 138972 141488 149614 185296 212232 224421 277944 299228 424464 448842 555888 598456 897684 1196912 1795368 2767859 3590736 5535718 8303577 11071436 16607154 22142872 33214308 44285744 66428616 132857232