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132916641 = 31113223833
BaseRepresentation
bin1111110110000…
…10010110100001
3100021002212100120
413323002112201
5233011313031
621104510453
73202526034
oct773022641
9307085316
10132916641
1169034270
123861b429
13216ca200
141391d01b
15ba07a96
hex7ec25a1

132916641 has 24 divisors (see below), whose sum is σ = 209357856. Its totient is φ = 74355840.

The previous prime is 132916613. The next prime is 132916643. The reversal of 132916641 is 146619231.

It is not a de Polignac number, because 132916641 - 29 = 132916129 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (132916643) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6340 + ... + 17493.

It is an arithmetic number, because the mean of its divisors is an integer number (8723244).

Almost surely, 2132916641 is an apocalyptic number.

132916641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132916641 is a deficient number, since it is larger than the sum of its proper divisors (76441215).

132916641 is a wasteful number, since it uses less digits than its factorization.

132916641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23873 (or 23860 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 132916641 is about 11528.9479572075. The cubic root of 132916641 is about 510.3402074545.

The spelling of 132916641 in words is "one hundred thirty-two million, nine hundred sixteen thousand, six hundred forty-one".

Divisors: 1 3 11 13 33 39 143 169 429 507 1859 5577 23833 71499 262163 309829 786489 929487 3408119 4027777 10224357 12083331 44305547 132916641