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132243696 = 243213411723
BaseRepresentation
bin1111110000111…
…10000011110000
3100012211200020200
413320132003300
5232323244241
621042235200
73164024064
oct770360360
9305750220
10132243696
1168714712
1238355b00
1321522b10
14137c5aa4
15b9234b6
hex7e1e0f0

132243696 has 120 divisors (see below), whose sum is σ = 408525936. Its totient is φ = 39674880.

The previous prime is 132243691. The next prime is 132243701. The reversal of 132243696 is 696342231.

132243696 is a `hidden beast` number, since 132 + 2 + 436 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (132243691) and next prime (132243701).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 132243696.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132243691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75891 + ... + 77613.

Almost surely, 2132243696 is an apocalyptic number.

132243696 is a gapful number since it is divisible by the number (16) 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 132243696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204262968).

132243696 is an abundant number, since it is smaller than the sum of its proper divisors (276282240).

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

132243696 is a wasteful number, since it uses less digits than its factorization.

132243696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1782 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 132243696 is about 11499.7259097772. The cubic root of 132243696 is about 509.4774809851.

The spelling of 132243696 in words is "one hundred thirty-two million, two hundred forty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 41 48 52 72 78 82 104 117 123 144 156 164 208 234 246 312 328 369 468 492 533 624 656 738 936 984 1066 1476 1599 1723 1872 1968 2132 2952 3198 3446 4264 4797 5169 5904 6396 6892 8528 9594 10338 12792 13784 15507 19188 20676 22399 25584 27568 31014 38376 41352 44798 62028 67197 70643 76752 82704 89596 124056 134394 141286 179192 201591 211929 248112 268788 282572 358384 403182 423858 537576 565144 635787 806364 847716 918359 1075152 1130288 1271574 1612728 1695432 1836718 2543148 2755077 3225456 3390864 3673436 5086296 5510154 7346872 8265231 10172592 11020308 14693744 16530462 22040616 33060924 44081232 66121848 132243696