Search a number
-
+
133502664 = 233191372137
BaseRepresentation
bin1111111010100…
…01011011001000
3100022012122020010
413331101123020
5233134041124
621125231520
73210516411
oct775213310
9308178203
10133502664
11693a4589
12388625a0
1321873b79
1413a32808
15bac1529
hex7f516c8

133502664 has 64 divisors (see below), whose sum is σ = 354052800. Its totient is φ = 41831424.

The previous prime is 133502609. The next prime is 133502669. The reversal of 133502664 is 466205331.

It is a super-2 number, since 2×1335026642 = 35645922590193792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133502669) 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, 61404 + ... + 63540.

It is an arithmetic number, because the mean of its divisors is an integer number (5532075).

Almost surely, 2133502664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133502664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177026400).

133502664 is an abundant number, since it is smaller than the sum of its proper divisors (220550136).

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

133502664 is a wasteful number, since it uses less digits than its factorization.

133502664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2302 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 133502664 is about 11554.3352902709. The cubic root of 133502664 is about 511.0891295874.

Adding to 133502664 its reverse (466205331), we get a palindrome (599707995).

The spelling of 133502664 in words is "one hundred thirty-three million, five hundred two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 137 152 228 274 411 456 548 822 1096 1644 2137 2603 3288 4274 5206 6411 7809 8548 10412 12822 15618 17096 20824 25644 31236 40603 51288 62472 81206 121809 162412 243618 292769 324824 487236 585538 878307 974472 1171076 1756614 2342152 3513228 5562611 7026456 11125222 16687833 22250444 33375666 44500888 66751332 133502664