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132765973 = 2912373701
BaseRepresentation
bin1111110100111…
…01100100010101
3100020211012200021
413322131210111
5232442002343
621101345141
73201330544
oct772354425
9306735607
10132765973
1168a4104a
12385681b1
1321676762
14138c015b
15b9c80ed
hex7e9d915

132765973 has 8 divisors (see below), whose sum is σ = 137492280. Its totient is φ = 128049600.

The previous prime is 132765967. The next prime is 132765979. The reversal of 132765973 is 379567231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132765967) and next prime (132765979).

It can be written as a sum of positive squares in 4 ways, for example, as 29398084 + 103367889 = 5422^2 + 10167^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-132765973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132765979) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34023 + ... + 37723.

It is an arithmetic number, because the mean of its divisors is an integer number (17186535).

Almost surely, 2132765973 is an apocalyptic number.

It is an amenable number.

132765973 is a deficient number, since it is larger than the sum of its proper divisors (4726307).

132765973 is a wasteful number, since it uses less digits than its factorization.

132765973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4967.

The product of its digits is 238140, while the sum is 43.

The square root of 132765973 is about 11522.4117701113. The cubic root of 132765973 is about 510.1473020621.

The spelling of 132765973 in words is "one hundred thirty-two million, seven hundred sixty-five thousand, nine hundred seventy-three".

Divisors: 1 29 1237 3701 35873 107329 4578137 132765973