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132011320 = 23575961131
BaseRepresentation
bin1111101111001…
…01010100111000
3100012101212111011
413313211110320
5232243330240
621033243304
73162035440
oct767452470
9305355434
10132011320
1168576071
1238263534
132147110c
1413765120
15b8c96ea
hex7de5538

132011320 has 128 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 43430400.

The previous prime is 132011311. The next prime is 132011351. The reversal of 132011320 is 23110231.

It is a self number, because there is not a number n which added to its sum of digits gives 132011320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1007655 + ... + 1007785.

It is an arithmetic number, because the mean of its divisors is an integer number (2762100).

Almost surely, 2132011320 is an apocalyptic number.

132011320 is a gapful number since it is divisible by the number (10) 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 132011320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

132011320 is an abundant number, since it is smaller than the sum of its proper divisors (221537480).

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

132011320 is a wasteful number, since it uses less digits than its factorization.

132011320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 132011320 is about 11489.6179222810. The cubic root of 132011320 is about 509.1788914496.

Adding to 132011320 its reverse (23110231), we get a palindrome (155121551).

The spelling of 132011320 in words is "one hundred thirty-two million, eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 59 61 70 118 122 131 140 236 244 262 280 295 305 413 427 472 488 524 590 610 655 826 854 917 1048 1180 1220 1310 1652 1708 1834 2065 2135 2360 2440 2620 3304 3416 3599 3668 4130 4270 4585 5240 7198 7336 7729 7991 8260 8540 9170 14396 15458 15982 16520 17080 17995 18340 25193 28792 30916 31964 35990 36680 38645 39955 50386 54103 55937 61832 63928 71980 77290 79910 100772 108206 111874 125965 143960 154580 159820 201544 216412 223748 251930 270515 279685 309160 319640 432824 447496 471469 503860 541030 559370 942938 1007720 1082060 1118740 1885876 2164120 2237480 2357345 3300283 3771752 4714690 6600566 9429380 13201132 16501415 18858760 26402264 33002830 66005660 132011320