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132850500 = 22353312857
BaseRepresentation
bin1111110101100…
…10001101000100
3100020222111121220
413322302031010
5233002204000
621103240340
73202132146
oct772621504
9306874556
10132850500
1168a99602
12385a90b0
13216a6083
1413902c96
15b9e31a0
hex7eb2344

132850500 has 96 divisors (see below), whose sum is σ = 399479808. Its totient is φ = 34272000.

The previous prime is 132850499. The next prime is 132850513. The reversal of 132850500 is 5058231.

132850500 = T1395 + T1396 + ... + T1519.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45072 + ... + 47928.

It is an arithmetic number, because the mean of its divisors is an integer number (4161248).

Almost surely, 2132850500 is an apocalyptic number.

132850500 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 132850500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199739904).

132850500 is an abundant number, since it is smaller than the sum of its proper divisors (266629308).

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

132850500 is a wasteful number, since it uses less digits than its factorization.

132850500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2910 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 132850500 is about 11526.0791251839. The cubic root of 132850500 is about 510.2555428310.

The spelling of 132850500 in words is "one hundred thirty-two million, eight hundred fifty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 125 150 155 186 250 300 310 372 375 465 500 620 750 775 930 1500 1550 1860 2325 2857 3100 3875 4650 5714 7750 8571 9300 11428 11625 14285 15500 17142 23250 28570 34284 42855 46500 57140 71425 85710 88567 142850 171420 177134 214275 265701 285700 354268 357125 428550 442835 531402 714250 857100 885670 1062804 1071375 1328505 1428500 1771340 2142750 2214175 2657010 4285500 4428350 5314020 6642525 8856700 11070875 13285050 22141750 26570100 33212625 44283500 66425250 132850500