Search a number
-
+
132692940 = 22325737183
BaseRepresentation
bin1111110100010…
…11101111001100
3100020200111111100
413322023233030
5232432133230
621100023100
73200604612
oct772135714
9306614440
10132692940
11689a1196
1238531a90
132164c443
14138a16b2
15b9b1660
hex7e8bbcc

132692940 has 36 divisors (see below), whose sum is σ = 402502464. Its totient is φ = 35384736.

The previous prime is 132692929. The next prime is 132692953. The reversal of 132692940 is 49296231.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132692895 and 132692904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368412 + ... + 368771.

It is an arithmetic number, because the mean of its divisors is an integer number (11180624).

Almost surely, 2132692940 is an apocalyptic number.

132692940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132692940 is an abundant number, since it is smaller than the sum of its proper divisors (269809524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132692940 is a wasteful number, since it uses less digits than its factorization.

132692940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737198 (or 737193 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 132692940 is about 11519.2421625730. The cubic root of 132692940 is about 510.0537428947.

The spelling of 132692940 in words is "one hundred thirty-two million, six hundred ninety-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 737183 1474366 2211549 2948732 3685915 4423098 6634647 7371830 8846196 11057745 13269294 14743660 22115490 26538588 33173235 44230980 66346470 132692940