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132940901 = 1729416577
BaseRepresentation
bin1111110110010…
…00010001100101
3100021011002122002
413323020101211
5233013102101
621105215045
73202656542
oct773102145
9307132562
10132940901
1169050515
1238631485
1321708272
1413927bc9
15ba0ed6b
hex7ec8465

132940901 has 16 divisors (see below), whose sum is σ = 149189040. Its totient is φ = 117841920.

The previous prime is 132940883. The next prime is 132940937. The reversal of 132940901 is 109049231.

It is a happy number.

It is a Cunningham number, because it is equal to 115302+1.

It can be written as a sum of positive squares in 8 ways, for example, as 6400900 + 126540001 = 2530^2 + 11249^2 .

It is a cyclic number.

It is not a de Polignac number, because 132940901 - 26 = 132940837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132940201) 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, 16925 + ... + 23501.

It is an arithmetic number, because the mean of its divisors is an integer number (9324315).

Almost surely, 2132940901 is an apocalyptic number.

It is an amenable number.

132940901 is a deficient number, since it is larger than the sum of its proper divisors (16248139).

132940901 is a wasteful number, since it uses less digits than its factorization.

132940901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664.

The product of its (nonzero) digits is 1944, while the sum is 29.

The square root of 132940901 is about 11530.0000433651. Note that the first 4 decimals coincide. The cubic root of 132940901 is about 510.3712547338.

The spelling of 132940901 in words is "one hundred thirty-two million, nine hundred forty thousand, nine hundred one".

Divisors: 1 17 29 41 493 697 1189 6577 20213 111809 190733 269657 3242461 4584169 7820053 132940901