Search a number
-
+
133450164 = 223231197607
BaseRepresentation
bin1111111010001…
…00100110110100
3100022002222012200
413331010212310
5233130401124
621124144500
73210210351
oct775044664
9308088180
10133450164
11693690a1
1238838130
1321855cc3
1413a1b628
15bab0bc9
hex7f449b4

133450164 has 72 divisors (see below), whose sum is σ = 350558208. Its totient is φ = 42759360.

The previous prime is 133450151. The next prime is 133450169. The reversal of 133450164 is 461054331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133450169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219549 + ... + 220155.

It is an arithmetic number, because the mean of its divisors is an integer number (4868864).

Almost surely, 2133450164 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 133450164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175279104).

133450164 is an abundant number, since it is smaller than the sum of its proper divisors (217108044).

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

133450164 is a wasteful number, since it uses less digits than its factorization.

133450164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 133450164 is about 11552.0631923479. The cubic root of 133450164 is about 511.0221254381.

The spelling of 133450164 in words is "one hundred thirty-three million, four hundred fifty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 197 279 372 394 558 591 607 788 1116 1182 1214 1773 1821 2364 2428 3546 3642 5463 6107 7092 7284 10926 12214 18321 18817 21852 24428 36642 37634 54963 56451 73284 75268 109926 112902 119579 169353 219852 225804 239158 338706 358737 478316 677412 717474 1076211 1434948 2152422 3706949 4304844 7413898 11120847 14827796 22241694 33362541 44483388 66725082 133450164