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132656328 = 233272191979
BaseRepresentation
bin1111110100000…
…10110011001000
3100020121122021100
413322002303020
5232430000303
621055141400
73200363100
oct772026310
9306548240
10132656328
1168976732
1238514860
132163888c
1413892200
15b9a58a3
hex7e82cc8

132656328 has 144 divisors (see below), whose sum is σ = 440154000. Its totient is φ = 35888832.

The previous prime is 132656323. The next prime is 132656357. The reversal of 132656328 is 823656231.

It is a happy number.

132656328 is a `hidden beast` number, since 1 + 326 + 5 + 6 + 328 = 666.

It is a super-3 number, since 3×1326563283 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 132656292 and 132656301.

It is not an unprimeable number, because it can be changed into a prime (132656323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 66043 + ... + 68021.

It is an arithmetic number, because the mean of its divisors is an integer number (3056625).

Almost surely, 2132656328 is an apocalyptic number.

132656328 is a gapful number since it is divisible by the number (18) 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 132656328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220077000).

132656328 is an abundant number, since it is smaller than the sum of its proper divisors (307497672).

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

132656328 is a wasteful number, since it uses less digits than its factorization.

132656328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2010 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 132656328 is about 11517.6528858965. The cubic root of 132656328 is about 510.0068280516.

The spelling of 132656328 in words is "one hundred thirty-two million, six hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 28 36 38 42 49 56 57 63 72 76 84 98 114 126 133 147 152 168 171 196 228 252 266 294 342 392 399 441 456 504 532 588 684 798 882 931 1064 1176 1197 1368 1596 1764 1862 1979 2394 2793 3192 3528 3724 3958 4788 5586 5937 7448 7916 8379 9576 11172 11874 13853 15832 16758 17811 22344 23748 27706 33516 35622 37601 41559 47496 55412 67032 71244 75202 83118 96971 110824 112803 124677 142488 150404 166236 193942 225606 249354 263207 290913 300808 332472 338409 387884 451212 498708 526414 581826 676818 775768 789621 872739 902424 997416 1052828 1163652 1353636 1579242 1745478 1842449 2105656 2327304 2368863 2707272 3158484 3490956 3684898 4737726 5527347 6316968 6981912 7369796 9475452 11054694 14739592 16582041 18950904 22109388 33164082 44218776 66328164 132656328