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132300126 = 23273133871
BaseRepresentation
bin1111110001010…
…11110101011110
3100012221112122200
413320223311132
5232332101001
621043352330
73164350440
oct770536536
9305845580
10132300126
1168753052
12383826a6
13215426ca
14137dc490
15b935086
hex7e2bd5e

132300126 has 48 divisors (see below), whose sum is σ = 338178048. Its totient is φ = 36579600.

The previous prime is 132300107. The next prime is 132300127. The reversal of 132300126 is 621003231.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132300099 and 132300108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132300127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13030 + ... + 20841.

It is an arithmetic number, because the mean of its divisors is an integer number (7045376).

Almost surely, 2132300126 is an apocalyptic number.

132300126 is an abundant number, since it is smaller than the sum of its proper divisors (205877922).

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

132300126 is a wasteful number, since it uses less digits than its factorization.

132300126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33917 (or 33914 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 132300126 is about 11502.1791848328. The cubic root of 132300126 is about 509.5499374343.

Adding to 132300126 its reverse (621003231), we get a palindrome (753303357).

The spelling of 132300126 in words is "one hundred thirty-two million, three hundred thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 279 434 558 651 1302 1953 3906 33871 67742 101613 203226 237097 304839 474194 609678 711291 1050001 1422582 2100002 2133873 3150003 4267746 6300006 7350007 9450009 14700014 18900018 22050021 44100042 66150063 132300126