Search a number
-
+
132014080 = 213511293
BaseRepresentation
bin1111101111001…
…10000000000000
3100012102000021101
413313212000000
5232243422310
621033304144
73162046462
oct767460000
9305360241
10132014080
1168578150
1238265054
1321472453
1413766132
15b8ca43a
hex7de6000

132014080 has 112 divisors (see below), whose sum is σ = 346795344. Its totient is φ = 47841280.

The previous prime is 132014009. The next prime is 132014101. The reversal of 132014080 is 80410231.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 450414 + ... + 450706.

It is an arithmetic number, because the mean of its divisors is an integer number (3096387).

Almost surely, 2132014080 is an apocalyptic number.

132014080 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 132014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173397672).

132014080 is an abundant number, since it is smaller than the sum of its proper divisors (214781264).

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

132014080 is an equidigital number, since it uses as much as digits as its factorization.

132014080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 132014080 is about 11489.7380300858. The cubic root of 132014080 is about 509.1824399432.

It can be divided in two parts, 1320 and 14080, that added together give a triangular number (15400 = T175).

The spelling of 132014080 in words is "one hundred thirty-two million, fourteen thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 293 320 352 440 512 586 640 704 880 1024 1172 1280 1408 1465 1760 2048 2344 2560 2816 2930 3223 3520 4096 4688 5120 5632 5860 6446 7040 8192 9376 10240 11264 11720 12892 14080 16115 18752 20480 22528 23440 25784 28160 32230 37504 40960 45056 46880 51568 56320 64460 75008 90112 93760 103136 112640 128920 150016 187520 206272 225280 257840 300032 375040 412544 450560 515680 600064 750080 825088 1031360 1200128 1500160 1650176 2062720 2400256 3000320 3300352 4125440 6000640 6600704 8250880 12001280 13201408 16501760 26402816 33003520 66007040 132014080