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132850900 = 225271321123
BaseRepresentation
bin1111110101100…
…10010011010100
3100020222112011201
413322302103110
5233002212100
621103242244
73202133260
oct772622324
9306875151
10132850900
1168a99936
12385a9384
13216a6300
14139030a0
15b9e336a
hex7eb24d4

132850900 has 108 divisors (see below), whose sum is σ = 357081312. Its totient is φ = 42007680.

The previous prime is 132850897. The next prime is 132850901. The reversal of 132850900 is 9058231.

132850900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132850901) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117739 + ... + 118861.

Almost surely, 2132850900 is an apocalyptic number.

132850900 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 132850900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178540656).

132850900 is an abundant number, since it is smaller than the sum of its proper divisors (224230412).

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

132850900 is a wasteful number, since it uses less digits than its factorization.

132850900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 132850900 is about 11526.0964771253. The cubic root of 132850900 is about 510.2560549405.

The spelling of 132850900 in words is "one hundred thirty-two million, eight hundred fifty thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 169 175 182 260 325 338 350 364 455 650 676 700 845 910 1123 1183 1300 1690 1820 2246 2275 2366 3380 4225 4492 4550 4732 5615 5915 7861 8450 9100 11230 11830 14599 15722 16900 22460 23660 28075 29198 29575 31444 39305 56150 58396 59150 72995 78610 102193 112300 118300 145990 157220 189787 196525 204386 291980 364975 379574 393050 408772 510965 729950 759148 786100 948935 1021930 1328509 1459900 1897870 2043860 2554825 2657018 3795740 4744675 5109650 5314036 6642545 9489350 10219300 13285090 18978700 26570180 33212725 66425450 132850900