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132052431 = 3741153371
BaseRepresentation
bin1111101111011…
…11010111001111
3100012110221212210
413313233113033
5232301134211
621034201503
73162266340
oct767572717
9305427783
10132052431
11685a3a45
1238283293
1321486a44
14137760c7
15b8d69a6
hex7def5cf

132052431 has 16 divisors (see below), whose sum is σ = 206131968. Its totient is φ = 73617600.

The previous prime is 132052429. The next prime is 132052433. The reversal of 132052431 is 134250231.

It is an interprime number because it is at equal distance from previous prime (132052429) and next prime (132052433).

It is not a de Polignac number, because 132052431 - 21 = 132052429 is a prime.

It is a super-2 number, since 2×1320524312 = 34875689066019522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 132052398 and 132052407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132052433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75825 + ... + 77546.

It is an arithmetic number, because the mean of its divisors is an integer number (12883248).

Almost surely, 2132052431 is an apocalyptic number.

132052431 is a deficient number, since it is larger than the sum of its proper divisors (74079537).

132052431 is a wasteful number, since it uses less digits than its factorization.

132052431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153422.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 132052431 is about 11491.4068329339. The cubic root of 132052431 is about 509.2317421719.

The spelling of 132052431 in words is "one hundred thirty-two million, fifty-two thousand, four hundred thirty-one".

Divisors: 1 3 7 21 41 123 287 861 153371 460113 1073597 3220791 6288211 18864633 44017477 132052431