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132803900 = 225212710457
BaseRepresentation
bin1111110101001…
…10110100111100
3100020220010200222
413322212310330
5232444211100
621102240512
73201546245
oct772466474
9306803628
10132803900
1168a67599
1238586138
132168aab8
14138cdccc
15b9d4485
hex7ea6d3c

132803900 has 36 divisors (see below), whose sum is σ = 290481408. Its totient is φ = 52698240.

The previous prime is 132803897. The next prime is 132803903. The reversal of 132803900 is 9308231.

It is an interprime number because it is at equal distance from previous prime (132803897) and next prime (132803903).

It is a self number, because there is not a number n which added to its sum of digits gives 132803900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132803903) by changing a digit.

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, 7472 + ... + 17928.

It is an arithmetic number, because the mean of its divisors is an integer number (8068928).

Almost surely, 2132803900 is an apocalyptic number.

132803900 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 132803900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145240704).

132803900 is an abundant number, since it is smaller than the sum of its proper divisors (157677508).

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

132803900 is a wasteful number, since it uses less digits than its factorization.

132803900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10598 (or 10591 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 132803900 is about 11524.0574451883. The cubic root of 132803900 is about 510.1958750364.

The spelling of 132803900 in words is "one hundred thirty-two million, eight hundred three thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 127 254 508 635 1270 2540 3175 6350 10457 12700 20914 41828 52285 104570 209140 261425 522850 1045700 1328039 2656078 5312156 6640195 13280390 26560780 33200975 66401950 132803900