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132380244 = 22342973193
BaseRepresentation
bin1111110001111…
…11011001010100
3100020002121120000
413320333121110
5232342131434
621045211300
73165133143
oct770773124
9306077500
10132380244
11687a8267
1238400b30
1321570009
141381d75a
15b94db99
hex7e3f654

132380244 has 120 divisors (see below), whose sum is σ = 364785960. Its totient is φ = 41803776.

The previous prime is 132380233. The next prime is 132380251. The reversal of 132380244 is 442083231.

It can be written as a sum of positive squares in 4 ways, for example, as 11819844 + 120560400 = 3438^2 + 10980^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 685812 + ... + 686004.

It is an arithmetic number, because the mean of its divisors is an integer number (3039883).

Almost surely, 2132380244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132380244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182392980).

132380244 is an abundant number, since it is smaller than the sum of its proper divisors (232405716).

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

132380244 is a wasteful number, since it uses less digits than its factorization.

132380244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 132380244 is about 11505.6613890728. The cubic root of 132380244 is about 509.6527740306.

The spelling of 132380244 in words is "one hundred thirty-two million, three hundred eighty thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 73 81 87 108 116 146 162 174 193 219 261 292 324 348 386 438 522 579 657 772 783 876 1044 1158 1314 1566 1737 1971 2117 2316 2349 2628 3132 3474 3942 4234 4698 5211 5597 5913 6351 6948 7884 8468 9396 10422 11194 11826 12702 14089 15633 16791 19053 20844 22388 23652 25404 28178 31266 33582 38106 42267 50373 56356 57159 62532 67164 76212 84534 100746 114318 126801 151119 169068 171477 201492 228636 253602 302238 342954 380403 408581 453357 507204 604476 685908 760806 817162 906714 1141209 1225743 1521612 1634324 1813428 2282418 2451486 3677229 4564836 4902972 7354458 11031687 14708916 22063374 33095061 44126748 66190122 132380244