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132210672 = 243112411039
BaseRepresentation
bin1111110000101…
…01111111110000
3100012202222221120
413320111333300
5232321220142
621041422240
73163525566
oct770257760
9305688846
10132210672
11686a1920
123833a980
1321510a89
14137b7a36
15b9187ec
hex7e15ff0

132210672 has 80 divisors (see below), whose sum is σ = 374499840. Its totient is φ = 39859200.

The previous prime is 132210641. The next prime is 132210719. The reversal of 132210672 is 276012231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 126729 + ... + 127767.

It is an arithmetic number, because the mean of its divisors is an integer number (4681248).

Almost surely, 2132210672 is an apocalyptic number.

132210672 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 132210672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187249920).

132210672 is an abundant number, since it is smaller than the sum of its proper divisors (242289168).

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

132210672 is a wasteful number, since it uses less digits than its factorization.

132210672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 132210672 is about 11498.2899598158. The cubic root of 132210672 is about 509.4350684151.

The spelling of 132210672 in words is "one hundred thirty-two million, two hundred ten thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 241 264 482 528 723 964 1039 1446 1928 2078 2651 2892 3117 3856 4156 5302 5784 6234 7953 8312 10604 11429 11568 12468 15906 16624 21208 22858 24936 31812 34287 42416 45716 49872 63624 68574 91432 127248 137148 182864 250399 274296 500798 548592 751197 1001596 1502394 2003192 2754389 3004788 4006384 5508778 6009576 8263167 11017556 12019152 16526334 22035112 33052668 44070224 66105336 132210672