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132488000 = 265316561
BaseRepresentation
bin1111110010110…
…01101101000000
3100020022002100222
413321121231000
5232404104000
621051402212
73166062251
oct771315500
9306262328
10132488000
1168871217
1238453368
13215aa088
141384ab28
15b970a85
hex7e59b40

132488000 has 56 divisors (see below), whose sum is σ = 328126344. Its totient is φ = 52992000.

The previous prime is 132487997. The next prime is 132488033. The reversal of 132488000 is 884231.

It can be written as a sum of positive squares in 4 ways, for example, as 30558784 + 101929216 = 5528^2 + 10096^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 281 + ... + 16280.

It is an arithmetic number, because the mean of its divisors is an integer number (5859399).

Almost surely, 2132488000 is an apocalyptic number.

132488000 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 132488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164063172).

132488000 is an abundant number, since it is smaller than the sum of its proper divisors (195638344).

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

132488000 is an equidigital number, since it uses as much as digits as its factorization.

132488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16588 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 132488000 is about 11510.3431747277. The cubic root of 132488000 is about 509.7910203642.

The spelling of 132488000 in words is "one hundred thirty-two million, four hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 16561 33122 66244 82805 132488 165610 264976 331220 414025 529952 662440 828050 1059904 1324880 1656100 2070125 2649760 3312200 4140250 5299520 6624400 8280500 13248800 16561000 26497600 33122000 66244000 132488000