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132730332 = 223723229103
BaseRepresentation
bin1111110100101…
…00110111011100
3100020202101210020
413322110313130
5232434332312
621100512140
73201121620
oct772246734
9306671706
10132730332
1168a17299
123854b650
1321663477
14138b1180
15b9bc78c
hex7e94ddc

132730332 has 144 divisors (see below), whose sum is σ = 386480640. Its totient is φ = 34683264.

The previous prime is 132730319. The next prime is 132730337. The reversal of 132730332 is 233037231.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132730337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1288593 + ... + 1288695.

Almost surely, 2132730332 is an apocalyptic number.

132730332 is a gapful number since it is divisible by the number (12) 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 132730332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193240320).

132730332 is an abundant number, since it is smaller than the sum of its proper divisors (253750308).

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

132730332 is a wasteful number, since it uses less digits than its factorization.

132730332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 24.

The square root of 132730332 is about 11520.8650716862. The cubic root of 132730332 is about 510.1016483281.

Adding to 132730332 its reverse (233037231), we get a palindrome (365767563).

The spelling of 132730332 in words is "one hundred thirty-two million, seven hundred thirty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 29 42 46 58 69 84 87 92 103 116 138 161 174 203 206 276 309 322 348 406 412 483 529 609 618 644 667 721 812 966 1058 1218 1236 1334 1442 1587 1932 2001 2116 2163 2369 2436 2668 2884 2987 3174 3703 4002 4326 4669 4738 5974 6348 7107 7406 8004 8652 8961 9338 9476 11109 11948 14007 14214 14812 15341 16583 17922 18676 20909 22218 28014 28428 30682 33166 35844 41818 44436 46023 49749 54487 56028 61364 62727 66332 68701 83636 92046 99498 107387 108974 125454 137402 163461 184092 198996 206103 214774 217948 250908 274804 322161 326922 381409 412206 429548 480907 644322 653844 762818 824412 961814 1144227 1288644 1442721 1525636 1580123 1923628 2288454 2885442 3160246 4576908 4740369 5770884 6320492 9480738 11060861 18961476 22121722 33182583 44243444 66365166 132730332