Search a number
-
+
66715344 = 24321727253
BaseRepresentation
bin1111111001111…
…1111011010000
311122112111020200
43332133323100
5114034342334
610341535200
71440033243
oct376377320
9148474220
1066715344
1134728253
121a414500
1310a8b747
148c0925a
155ccc799
hex3f9fed0

66715344 has 60 divisors (see below), whose sum is σ = 197700516. Its totient is φ = 20929536.

The previous prime is 66715343. The next prime is 66715349. The reversal of 66715344 is 44351766.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 43560000 + 23155344 = 6600^2 + 4812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66715299 and 66715308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66715343) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11179 + ... + 16074.

Almost surely, 266715344 is an apocalyptic number.

It is an amenable number.

66715344 is an abundant number, since it is smaller than the sum of its proper divisors (130985172).

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

66715344 is a wasteful number, since it uses less digits than its factorization.

66715344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27284 (or 27275 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 66715344 is about 8167.9461310662. The cubic root of 66715344 is about 405.5787974865.

The spelling of 66715344 in words is "sixty-six million, seven hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 27253 54506 81759 109012 163518 218024 245277 327036 436048 463301 490554 654072 926602 981108 1308144 1389903 1853204 1962216 2779806 3706408 3924432 4169709 5559612 7412816 8339418 11119224 16678836 22238448 33357672 66715344