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132210468 = 22351310463
BaseRepresentation
bin1111110000101…
…01111100100100
3100012202222200000
413320111330210
5232321213333
621041421300
73163525155
oct770257444
9305688600
10132210468
11686a1755
123833a830
1321510960
14137b792c
15b918713
hex7e15f24

132210468 has 72 divisors (see below), whose sum is σ = 373271808. Its totient is φ = 40676256.

The previous prime is 132210409. The next prime is 132210469. The reversal of 132210468 is 864012231.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (132210469) 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, 7405 + ... + 17867.

Almost surely, 2132210468 is an apocalyptic number.

132210468 is a gapful number since it is divisible by the number (18) 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 132210468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186635904).

132210468 is an abundant number, since it is smaller than the sum of its proper divisors (241061340).

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

132210468 is a wasteful number, since it uses less digits than its factorization.

132210468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10495 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132210468 is about 11498.2810889280. The cubic root of 132210468 is about 509.4348063969.

Adding to 132210468 its reverse (864012231), we get a palindrome (996222699).

The spelling of 132210468 in words is "one hundred thirty-two million, two hundred ten thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 10463 12636 20926 31389 41852 62778 94167 125556 136019 188334 272038 282501 376668 408057 544076 565002 816114 847503 1130004 1224171 1632228 1695006 2448342 2542509 3390012 3672513 4896684 5085018 7345026 10170036 11017539 14690052 22035078 33052617 44070156 66105234 132210468