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132041232 = 2433537379
BaseRepresentation
bin1111101111011…
…00101000010000
3100012110101112000
413313230220100
5232300304412
621034034000
73162221601
oct767545020
9305411460
10132041232
1168596594
1238278900
132148190b
1413771da8
15b8d34dc
hex7deca10

132041232 has 160 divisors (see below), whose sum is σ = 396403200. Its totient is φ = 42052608.

The previous prime is 132041207. The next prime is 132041269. The reversal of 132041232 is 232140231.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1671369 + ... + 1671447.

It is an arithmetic number, because the mean of its divisors is an integer number (2477520).

Almost surely, 2132041232 is an apocalyptic number.

132041232 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 132041232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198201600).

132041232 is an abundant number, since it is smaller than the sum of its proper divisors (264361968).

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

132041232 is a wasteful number, since it uses less digits than its factorization.

132041232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 132041232 is about 11490.9195454498. The cubic root of 132041232 is about 509.2173462549.

Adding to 132041232 its reverse (232140231), we get a palindrome (364181463).

The spelling of 132041232 in words is "one hundred thirty-two million, forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 73 79 106 108 144 146 158 159 212 216 219 237 292 316 318 424 432 438 474 477 584 632 636 657 711 848 876 948 954 1168 1264 1272 1314 1422 1431 1752 1896 1908 1971 2133 2544 2628 2844 2862 3504 3792 3816 3869 3942 4187 4266 5256 5688 5724 5767 7632 7738 7884 8374 8532 10512 11376 11448 11534 11607 12561 15476 15768 16748 17064 17301 22896 23068 23214 25122 30952 31536 33496 34128 34602 34821 37683 46136 46428 50244 51903 61904 66992 69204 69642 75366 92272 92856 100488 103806 104463 113049 138408 139284 150732 155709 185712 200976 207612 208926 226098 276816 278568 301464 305651 311418 415224 417852 452196 557136 602928 611302 622836 830448 835704 904392 916953 1222604 1245672 1671408 1808784 1833906 2445208 2491344 2750859 3667812 4890416 5501718 7335624 8252577 11003436 14671248 16505154 22006872 33010308 44013744 66020616 132041232