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132600468 = 2237211131983
BaseRepresentation
bin1111110011101…
…01001010010100
3100020111210122110
413321311022110
5232421203333
621054031020
73200041200
oct771651224
9306453573
10132600468
1168938770
12384a8470
1321619320
1413879b00
15b994063
hex7e75294

132600468 has 288 divisors, whose sum is σ = 450455040. Its totient is φ = 29756160.

The previous prime is 132600443. The next prime is 132600491. The reversal of 132600468 is 864006231.

It is a super-2 number, since 2×1326004682 = 35165768227638048, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1597555 + ... + 1597637.

It is an arithmetic number, because the mean of its divisors is an integer number (1564080).

Almost surely, 2132600468 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 132600468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

132600468 is an abundant number, since it is smaller than the sum of its proper divisors (317854572).

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

132600468 is a wasteful number, since it uses less digits than its factorization.

132600468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 132600468 is about 11515.2276573240. The cubic root of 132600468 is about 509.9352320673.

Adding to 132600468 its reverse (864006231), we get a palindrome (996606699).

The spelling of 132600468 in words is "one hundred thirty-two million, six hundred thousand, four hundred sixty-eight".