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132948 = 22331231
BaseRepresentation
bin100000011101010100
320202101000
4200131110
513223243
62503300
71062414
oct403524
9222330
10132948
1190982
1264b30
134868a
1436644
15295d3
hex20754

132948 has 24 divisors (see below), whose sum is σ = 344960. Its totient is φ = 44280.

The previous prime is 132947. The next prime is 132949. The reversal of 132948 is 849231.

It is an interprime number because it is at equal distance from previous prime (132947) and next prime (132949).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508 + ... + 723.

2132948 is an apocalyptic number.

132948 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132948 is an abundant number, since it is smaller than the sum of its proper divisors (212012).

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

132948 is a wasteful number, since it uses less digits than its factorization.

132948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1244 (or 1236 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 132948 is about 364.6203505017. The cubic root of 132948 is about 51.0380339124.

The spelling of 132948 in words is "one hundred thirty-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1231 2462 3693 4924 7386 11079 14772 22158 33237 44316 66474 132948