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132427530 = 232519431801
BaseRepresentation
bin1111110010010…
…10111100001010
3100020012000102100
413321022330022
5232400140110
621050214230
73165421044
oct771127412
9306160370
10132427530
116882a844
1238424376
13215886b1
1413832a94
15b95cbc0
hex7e4af0a

132427530 has 96 divisors (see below), whose sum is σ = 371067840. Its totient is φ = 32659200.

The previous prime is 132427517. The next prime is 132427531. The reversal of 132427530 is 35724231.

It is a junction number, because it is equal to n+sod(n) for n = 132427494 and 132427503.

It is not an unprimeable number, because it can be changed into a prime (132427531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72630 + ... + 74430.

It is an arithmetic number, because the mean of its divisors is an integer number (3865290).

Almost surely, 2132427530 is an apocalyptic number.

132427530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132427530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185533920).

132427530 is an abundant number, since it is smaller than the sum of its proper divisors (238640310).

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

132427530 is a wasteful number, since it uses less digits than its factorization.

132427530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 132427530 is about 11507.7161070301. The cubic root of 132427530 is about 509.7134491774.

The spelling of 132427530 in words is "one hundred thirty-two million, four hundred twenty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 43 45 57 86 90 95 114 129 171 190 215 258 285 342 387 430 570 645 774 817 855 1290 1634 1710 1801 1935 2451 3602 3870 4085 4902 5403 7353 8170 9005 10806 12255 14706 16209 18010 24510 27015 32418 34219 36765 54030 68438 73530 77443 81045 102657 154886 162090 171095 205314 232329 307971 342190 387215 464658 513285 615942 696987 774430 1026570 1161645 1393974 1471417 1539855 2323290 2942834 3079710 3484935 4414251 6969870 7357085 8828502 13242753 14714170 22071255 26485506 44142510 66213765 132427530