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132308670 = 235133753173
BaseRepresentation
bin1111110001011…
…01111010111110
3100012221222101010
413320231322332
5232332334140
621043500050
73164414364
oct770557276
9305858333
10132308670
116875950a
1238387626
1321546570
1413801634
15b937880
hex7e2debe

132308670 has 128 divisors (see below), whose sum is σ = 359904384. Its totient is φ = 30910464.

The previous prime is 132308653. The next prime is 132308677. The reversal of 132308670 is 76803231.

132308670 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 (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132308677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 764704 + ... + 764876.

It is an arithmetic number, because the mean of its divisors is an integer number (2811753).

Almost surely, 2132308670 is an apocalyptic number.

132308670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132308670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179952192).

132308670 is an abundant number, since it is smaller than the sum of its proper divisors (227595714).

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

132308670 is a wasteful number, since it uses less digits than its factorization.

132308670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 132308670 is about 11502.5505867177. The cubic root of 132308670 is about 509.5609061841.

It can be divided in two parts, 13230 and 8670, that multiplied together give a square (114704100 = 107102).

The spelling of 132308670 in words is "one hundred thirty-two million, three hundred eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 37 39 53 65 74 78 106 111 130 159 173 185 195 222 265 318 346 370 390 481 519 530 555 689 795 865 962 1038 1110 1378 1443 1590 1730 1961 2067 2249 2405 2595 2886 3445 3922 4134 4498 4810 5190 5883 6401 6747 6890 7215 9169 9805 10335 11245 11766 12802 13494 14430 18338 19203 19610 20670 22490 25493 27507 29415 32005 33735 38406 45845 50986 55014 58830 64010 67470 76479 83213 91690 96015 119197 127465 137535 152958 166426 192030 238394 249639 254930 275070 339253 357591 382395 416065 499278 595985 678506 715182 764790 832130 1017759 1191970 1248195 1696265 1787955 2035518 2496390 3392530 3575910 4410289 5088795 8820578 10177590 13230867 22051445 26461734 44102890 66154335 132308670