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132770000 = 2454111771
BaseRepresentation
bin1111110100111…
…10100011010000
3100020211102012102
413322132203100
5232442120000
621101415532
73201345356
oct772364320
9306742172
10132770000
1168a44080
123856a5a8
132167853c
14138c17d6
15b9c93d5
hex7e9e8d0

132770000 has 200 divisors, whose sum is σ = 376529472. Its totient is φ = 44800000.

The previous prime is 132769969. The next prime is 132770003. The reversal of 132770000 is 77231.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132770003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1869965 + ... + 1870035.

Almost surely, 2132770000 is an apocalyptic number.

132770000 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 132770000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188264736).

132770000 is an abundant number, since it is smaller than the sum of its proper divisors (243759472).

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

132770000 is a wasteful number, since it uses less digits than its factorization.

132770000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The square root of 132770000 is about 11522.5865151883. The cubic root of 132770000 is about 510.1524598656.

The spelling of 132770000 in words is "one hundred thirty-two million, seven hundred seventy thousand".