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132064380 = 223257281373
BaseRepresentation
bin1111101111100…
…10010001111100
3100012111120021100
413313302101330
5232302030010
621034333100
73162346230
oct767622174
9305446240
10132064380
1168601a18
123828a190
132148c306
141377a5c0
15b8da2c0
hex7df247c

132064380 has 144 divisors (see below), whose sum is σ = 460684224. Its totient is φ = 29998080.

The previous prime is 132064369. The next prime is 132064397. The reversal of 132064380 is 83460231.

It is a happy number.

132064380 is a `hidden beast` number, since 13 + 2 + 0 + 643 + 8 + 0 = 666.

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 47 ways as a sum of consecutive naturals, for example, 353874 + ... + 354246.

It is an arithmetic number, because the mean of its divisors is an integer number (3199196).

Almost surely, 2132064380 is an apocalyptic number.

132064380 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 132064380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230342112).

132064380 is an abundant number, since it is smaller than the sum of its proper divisors (328619844).

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

132064380 is a wasteful number, since it uses less digits than its factorization.

132064380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132064380 is about 11491.9267314058. The cubic root of 132064380 is about 509.2471012897.

The spelling of 132064380 in words is "one hundred thirty-two million, sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 281 315 373 420 562 630 746 843 1119 1124 1260 1405 1492 1686 1865 1967 2238 2529 2611 2810 3357 3372 3730 3934 4215 4476 5058 5222 5595 5620 5901 6714 7460 7833 7868 8430 9835 10116 10444 11190 11802 12645 13055 13428 15666 16785 16860 17703 19670 22380 23499 23604 25290 26110 29505 31332 33570 35406 39165 39340 46998 50580 52220 59010 67140 70812 78330 88515 93996 104813 117495 118020 156660 177030 209626 234990 314439 354060 419252 469980 524065 628878 733691 943317 1048130 1257756 1467382 1572195 1886634 2096260 2201073 2934764 3144390 3668455 3773268 4402146 4716585 6288780 6603219 7336910 8804292 9433170 11005365 13206438 14673820 18866340 22010730 26412876 33016095 44021460 66032190 132064380