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132818260 = 22529318389
BaseRepresentation
bin1111110101010…
…10010101010100
3100020220212101211
413322222111110
5233000141020
621102431204
73201636151
oct772522524
9306825354
10132818260
1168a77363
1238592504
13216944b3
14138d5228
15b9d885a
hex7eaa554

132818260 has 96 divisors (see below), whose sum is σ = 304819200. Its totient is φ = 48491520.

The previous prime is 132818243. The next prime is 132818269. The reversal of 132818260 is 62818231.

132818260 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132818269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1492296 + ... + 1492384.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2132818260 is an apocalyptic number.

132818260 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 132818260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152409600).

132818260 is an abundant number, since it is smaller than the sum of its proper divisors (172000940).

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

132818260 is a wasteful number, since it uses less digits than its factorization.

132818260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 132818260 is about 11524.6804727940. The cubic root of 132818260 is about 510.2142634239.

The spelling of 132818260 in words is "one hundred thirty-two million, eight hundred eighteen thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 29 31 58 62 83 89 116 124 145 155 166 178 290 310 332 356 415 445 580 620 830 890 899 1660 1780 1798 2407 2573 2581 2759 3596 4495 4814 5146 5162 5518 7387 8990 9628 10292 10324 11036 12035 12865 12905 13795 14774 17980 24070 25730 25810 27590 29548 36935 48140 51460 51620 55180 73870 74617 80011 147740 149234 160022 214223 228997 298468 320044 373085 400055 428446 457994 746170 800110 856892 915988 1071115 1144985 1492340 1600220 2142230 2289970 4284460 4579940 6640913 13281826 26563652 33204565 66409130 132818260