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132023312 = 24232989139
BaseRepresentation
bin1111101111010…
…00010000010000
3100012102110221022
413313220100100
5232244221222
621033415012
73162115421
oct767502020
9305373838
10132023312
1168584083
123826a468
1321476705
1413769648
15b8cd042
hex7de8410

132023312 has 80 divisors (see below), whose sum is σ = 281232000. Its totient is φ = 59845632.

The previous prime is 132023273. The next prime is 132023323. The reversal of 132023312 is 213320231.

132023312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1320233122 = 34860309822898688, which contains 22 as substring.

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, 949739 + ... + 949877.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2132023312 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 132023312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140616000).

132023312 is an abundant number, since it is smaller than the sum of its proper divisors (149208688).

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

132023312 is a wasteful number, since it uses less digits than its factorization.

132023312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 132023312 is about 11490.1397728661. The cubic root of 132023312 is about 509.1943090375.

Adding to 132023312 its reverse (213320231), we get a palindrome (345343543).

The spelling of 132023312 in words is "one hundred thirty-two million, twenty-three thousand, three hundred twelve".

Divisors: 1 2 4 8 16 23 29 46 58 89 92 116 139 178 184 232 278 356 368 464 556 667 712 1112 1334 1424 2047 2224 2581 2668 3197 4031 4094 5162 5336 6394 8062 8188 10324 10672 12371 12788 16124 16376 20648 24742 25576 32248 32752 41296 49484 51152 59363 64496 92713 98968 118726 185426 197936 237452 284533 358759 370852 474904 569066 717518 741704 949808 1138132 1435036 1483408 2276264 2870072 4552528 5740144 8251457 16502914 33005828 66011656 132023312