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132430008 = 233291491277
BaseRepresentation
bin1111110010010…
…11100010111000
3100020012010211010
413321023202320
5232400230013
621050233520
73165431214
oct771134270
9306163733
10132430008
1168831697
12384258a0
1321589869
1413833944
15b95d7c3
hex7e4b8b8

132430008 has 64 divisors (see below), whose sum is σ = 345060000. Its totient is φ = 42301952.

The previous prime is 132430007. The next prime is 132430009. The reversal of 132430008 is 800034231.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (132430007) and next prime (132430009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132430003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103066 + ... + 104342.

Almost surely, 2132430008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132430008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172530000).

132430008 is an abundant number, since it is smaller than the sum of its proper divisors (212629992).

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

132430008 is a wasteful number, since it uses less digits than its factorization.

132430008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 132430008 is about 11507.8237734161. The cubic root of 132430008 is about 509.7166284309.

Adding to 132430008 its reverse (800034231), we get a palindrome (932464239).

The spelling of 132430008 in words is "one hundred thirty-two million, four hundred thirty thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 149 174 232 298 348 447 596 696 894 1192 1277 1788 2554 3576 3831 4321 5108 7662 8642 10216 12963 15324 17284 25926 30648 34568 37033 51852 74066 103704 111099 148132 190273 222198 296264 380546 444396 570819 761092 888792 1141638 1522184 2283276 4566552 5517917 11035834 16553751 22071668 33107502 44143336 66215004 132430008