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132695040 = 2103553163
BaseRepresentation
bin1111110100011…
…00010000000000
3100020200121101010
413322030100000
5232432220130
621100040520
73200614002
oct772142000
9306617333
10132695040
11689a2825
1238533140
132165039a
14138a2372
15b9b20b0
hex7e8c400

132695040 has 176 divisors, whose sum is σ = 435077568. Its totient is φ = 34504704.

The previous prime is 132695029. The next prime is 132695051. The reversal of 132695040 is 40596231.

It is an interprime number because it is at equal distance from previous prime (132695029) and next prime (132695051).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 132694989 and 132695007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 813999 + ... + 814161.

Almost surely, 2132695040 is an apocalyptic number.

132695040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217538784).

132695040 is an abundant number, since it is smaller than the sum of its proper divisors (302382528).

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

132695040 is a wasteful number, since it uses less digits than its factorization.

132695040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 132695040 is about 11519.3333140421. Note that the first 4 decimals coincide. The cubic root of 132695040 is about 510.0564335860.

The spelling of 132695040 in words is "one hundred thirty-two million, six hundred ninety-five thousand, forty".