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132703900 = 225271011877
BaseRepresentation
bin1111110100011…
…10011010011100
3100020201001112021
413322032122130
5232433011100
621100145524
73200651560
oct772163234
9306631467
10132703900
11689a944a
12385382a4
1321654424
14138a56a0
15b9b4a1a
hex7e8e69c

132703900 has 72 divisors (see below), whose sum is σ = 332541216. Its totient is φ = 45024000.

The previous prime is 132703877. The next prime is 132703919. The reversal of 132703900 is 9307231.

It is a super-2 number, since 2×1327039002 = 35220650150420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69762 + ... + 71638.

It is an arithmetic number, because the mean of its divisors is an integer number (4618628).

Almost surely, 2132703900 is an apocalyptic number.

132703900 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 132703900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166270608).

132703900 is an abundant number, since it is smaller than the sum of its proper divisors (199837316).

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

132703900 is a wasteful number, since it uses less digits than its factorization.

132703900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1999 (or 1992 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 25.

The square root of 132703900 is about 11519.7178784899. The cubic root of 132703900 is about 510.0677854281.

The spelling of 132703900 in words is "one hundred thirty-two million, seven hundred three thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 1877 2020 2525 2828 3535 3754 5050 7070 7508 9385 10100 13139 14140 17675 18770 26278 35350 37540 46925 52556 65695 70700 93850 131390 187700 189577 262780 328475 379154 656950 758308 947885 1313900 1327039 1895770 2654078 3791540 4739425 5308156 6635195 9478850 13270390 18957700 26540780 33175975 66351950 132703900