Search a number
-
+
133670240 = 25511531433
BaseRepresentation
bin1111111011110…
…10010101100000
3100022112011002122
413331322111200
5233204421430
621133003412
73212115104
oct775722540
9308464078
10133670240
11694a9480
1238923568
1321902222
1413a77904
15bb05ee5
hex7f7a560

133670240 has 96 divisors (see below), whose sum is σ = 351249696. Its totient is φ = 47656960.

The previous prime is 133670237. The next prime is 133670267. The reversal of 133670240 is 42076331.

133670240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92564 + ... + 93996.

It is an arithmetic number, because the mean of its divisors is an integer number (3658851).

Almost surely, 2133670240 is an apocalyptic number.

133670240 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 133670240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175624848).

133670240 is an abundant number, since it is smaller than the sum of its proper divisors (217579456).

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

133670240 is a wasteful number, since it uses less digits than its factorization.

133670240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 133670240 is about 11561.5846664720. The cubic root of 133670240 is about 511.3028842778.

The spelling of 133670240 in words is "one hundred thirty-three million, six hundred seventy thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 80 88 106 110 160 176 212 220 265 352 424 440 530 583 848 880 1060 1166 1433 1696 1760 2120 2332 2866 2915 4240 4664 5732 5830 7165 8480 9328 11464 11660 14330 15763 18656 22928 23320 28660 31526 45856 46640 57320 63052 75949 78815 93280 114640 126104 151898 157630 229280 252208 303796 315260 379745 504416 607592 630520 759490 835439 1215184 1261040 1518980 1670878 2430368 2522080 3037960 3341756 4177195 6075920 6683512 8354390 12151840 13367024 16708780 26734048 33417560 66835120 133670240