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132433230 = 235171979173
BaseRepresentation
bin1111110010011…
…00010101001110
3100020012022020110
413321030111032
5232400330410
621050300450
73165443466
oct771142516
9306168213
10132433230
1168834056
1238427726
132158b177
1413834ba6
15b95e720
hex7e4c54e

132433230 has 128 divisors (see below), whose sum is σ = 360806400. Its totient is φ = 30910464.

The previous prime is 132433207. The next prime is 132433237. The reversal of 132433230 is 32334231.

It is a junction number, because it is equal to n+sod(n) for n = 132433197 and 132433206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132433237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 765424 + ... + 765596.

It is an arithmetic number, because the mean of its divisors is an integer number (2818800).

Almost surely, 2132433230 is an apocalyptic number.

132433230 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 132433230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180403200).

132433230 is an abundant number, since it is smaller than the sum of its proper divisors (228373170).

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

132433230 is a wasteful number, since it uses less digits than its factorization.

132433230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298.

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 132433230 is about 11507.9637642808. The cubic root of 132433230 is about 509.7207621708.

Adding to 132433230 its reverse (32334231), we get a palindrome (164767461).

The spelling of 132433230 in words is "one hundred thirty-two million, four hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 19 30 34 38 51 57 79 85 95 102 114 158 170 173 190 237 255 285 323 346 395 474 510 519 570 646 790 865 969 1038 1185 1343 1501 1615 1730 1938 2370 2595 2686 2941 3002 3230 3287 4029 4503 4845 5190 5882 6574 6715 7505 8058 8823 9006 9690 9861 13430 13667 14705 15010 16435 17646 19722 20145 22515 25517 27334 29410 32870 40290 41001 44115 45030 49305 51034 55879 68335 76551 82002 88230 98610 111758 127585 136670 153102 167637 205005 232339 255170 259673 279395 335274 382755 410010 464678 519346 558790 697017 765510 779019 838185 1161695 1298365 1394034 1558038 1676370 2323390 2596730 3485085 3895095 4414441 6970170 7790190 8828882 13243323 22072205 26486646 44144410 66216615 132433230