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132113232 = 243219109443
BaseRepresentation
bin1111101111111…
…10001101010000
3100012121001021200
413313332031100
5232310110412
621035351200
73162641526
oct767761520
9305531250
10132113232
1168635699
12382b2500
13214a8614
1413790316
15b8e99dc
hex7dfe350

132113232 has 120 divisors (see below), whose sum is σ = 393650400. Its totient is φ = 41243904.

The previous prime is 132113209. The next prime is 132113249. The reversal of 132113232 is 232311231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298003 + ... + 298445.

It is an arithmetic number, because the mean of its divisors is an integer number (3280420).

Almost surely, 2132113232 is an apocalyptic number.

132113232 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 132113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196825200).

132113232 is an abundant number, since it is smaller than the sum of its proper divisors (261537168).

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

132113232 is a wasteful number, since it uses less digits than its factorization.

132113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 576 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 132113232 is about 11494.0520270268. The cubic root of 132113232 is about 509.3098854977.

Adding to 132113232 its reverse (232311231), we get a palindrome (364424463).

The spelling of 132113232 in words is "one hundred thirty-two million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 109 114 144 152 171 218 228 304 327 342 436 443 456 654 684 872 886 912 981 1308 1329 1368 1744 1772 1962 2071 2616 2658 2736 3544 3924 3987 4142 5232 5316 6213 7088 7848 7974 8284 8417 10632 12426 15696 15948 16568 16834 18639 21264 24852 25251 31896 33136 33668 37278 48287 49704 50502 63792 67336 74556 75753 96574 99408 101004 134672 144861 149112 151506 193148 202008 289722 298224 303012 386296 404016 434583 579444 606024 772592 869166 917453 1158888 1212048 1738332 1834906 2317776 2752359 3476664 3669812 5504718 6953328 7339624 8257077 11009436 14679248 16514154 22018872 33028308 44037744 66056616 132113232