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132940819 = 11412811049
BaseRepresentation
bin1111110110010…
…00010000010011
3100021011002112001
413323020100103
5233013101234
621105214431
73202656364
oct773102023
9307132461
10132940819
1169050450
1238631417
132170820b
1413927b6b
15ba0ed14
hex7ec8413

132940819 has 16 divisors (see below), whose sum is σ = 149234400. Its totient is φ = 117376000.

The previous prime is 132940793. The next prime is 132940823. The reversal of 132940819 is 918049231.

It is a cyclic number.

It is not a de Polignac number, because 132940819 - 225 = 99386387 is a prime.

It is a super-2 number, since 2×1329408192 = 35346522712781522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132940019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126207 + ... + 127255.

It is an arithmetic number, because the mean of its divisors is an integer number (9327150).

Almost surely, 2132940819 is an apocalyptic number.

132940819 is a deficient number, since it is larger than the sum of its proper divisors (16293581).

132940819 is a wasteful number, since it uses less digits than its factorization.

132940819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382.

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 132940819 is about 11529.9964874236. The cubic root of 132940819 is about 510.3711497989.

The spelling of 132940819 in words is "one hundred thirty-two million, nine hundred forty thousand, eight hundred nineteen".

Divisors: 1 11 41 281 451 1049 3091 11521 11539 43009 126731 294769 473099 3242459 12085529 132940819