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132508280 = 23519792207
BaseRepresentation
bin1111110010111…
…10101001111000
3100020100010012002
413321132221320
5232410231110
621052040132
73166205342
oct771365170
9306303162
10132508280
1168885483
1238463048
13215b6388
1413854292
15b976aa5
hex7e5ea78

132508280 has 64 divisors (see below), whose sum is σ = 317952000. Its totient is φ = 49555584.

The previous prime is 132508253. The next prime is 132508289. The reversal of 132508280 is 82805231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132508289) by changing a digit.

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, 58937 + ... + 61143.

It is an arithmetic number, because the mean of its divisors is an integer number (4968000).

Almost surely, 2132508280 is an apocalyptic number.

132508280 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 132508280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976000).

132508280 is an abundant number, since it is smaller than the sum of its proper divisors (185443720).

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

132508280 is a wasteful number, since it uses less digits than its factorization.

132508280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 132508280 is about 11511.2240878197. The cubic root of 132508280 is about 509.8170303536.

The spelling of 132508280 in words is "one hundred thirty-two million, five hundred eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 79 95 152 158 190 316 380 395 632 760 790 1501 1580 2207 3002 3160 4414 6004 7505 8828 11035 12008 15010 17656 22070 30020 41933 44140 60040 83866 88280 167732 174353 209665 335464 348706 419330 697412 838660 871765 1394824 1677320 1743530 3312707 3487060 6625414 6974120 13250828 16563535 26501656 33127070 66254140 132508280