Search a number
-
+
133332240 = 24353117921
BaseRepresentation
bin1111111001001…
…11110100010000
3100021212222110010
413330213310100
5233113112430
621121434520
73206206506
oct774476420
9307788403
10133332240
1169298538
123879ba40
1321814422
14139ca676
15ba8acb0
hex7f27d10

133332240 has 80 divisors (see below), whose sum is σ = 426686976. Its totient is φ = 34406400.

The previous prime is 133332239. The next prime is 133332247. The reversal of 133332240 is 42233331.

133332240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (133332247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1521 + ... + 16400.

Almost surely, 2133332240 is an apocalyptic number.

133332240 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 133332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213343488).

133332240 is an abundant number, since it is smaller than the sum of its proper divisors (293354736).

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

133332240 is a wasteful number, since it uses less digits than its factorization.

133332240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17968 (or 17962 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 133332240 is about 11546.9580409734. The cubic root of 133332240 is about 510.8715585391.

Adding to 133332240 its reverse (42233331), we get a palindrome (175565571).

The spelling of 133332240 in words is "one hundred thirty-three million, three hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 17921 35842 53763 71684 89605 107526 143368 179210 215052 268815 286736 358420 430104 537630 555551 716840 860208 1075260 1111102 1433680 1666653 2150520 2222204 2777755 3333306 4301040 4444408 5555510 6666612 8333265 8888816 11111020 13333224 16666530 22222040 26666448 33333060 44444080 66666120 133332240