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132001032 = 23319727919
BaseRepresentation
bin1111101111000…
…10110100001000
3100012101100101010
413313202310020
5232243013112
621033123520
73161663442
oct767426410
9305340333
10132001032
1168569369
12382595a0
1321469527
1413761492
15b8c663c
hex7de2d08

132001032 has 32 divisors (see below), whose sum is σ = 331689600. Its totient is φ = 43775424.

The previous prime is 132001027. The next prime is 132001043. The reversal of 132001032 is 230100231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 132000999 and 132001017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9232 + ... + 18687.

It is an arithmetic number, because the mean of its divisors is an integer number (10365300).

Almost surely, 2132001032 is an apocalyptic number.

132001032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132001032 is an abundant number, since it is smaller than the sum of its proper divisors (199688568).

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

132001032 is a wasteful number, since it uses less digits than its factorization.

132001032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28125 (or 28121 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132001032 is about 11489.1702050235. The cubic root of 132001032 is about 509.1656638756.

Adding to 132001032 its reverse (230100231), we get a palindrome (362101263).

The spelling of 132001032 in words is "one hundred thirty-two million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 197 394 591 788 1182 1576 2364 4728 27919 55838 83757 111676 167514 223352 335028 670056 5500043 11000086 16500129 22000172 33000258 44000344 66000516 132001032