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66830772 = 22343129517
BaseRepresentation
bin1111111011110…
…0000110110100
311122202100120210
43332330012310
5114102041042
610344225420
71441023621
oct376740664
9148670523
1066830772
11347a6a48
121a46b270
1310acc148
148c39348
155d01a9c
hex3fbc1b4

66830772 has 24 divisors (see below), whose sum is σ = 159566176. Its totient is φ = 21758688.

The previous prime is 66830759. The next prime is 66830773. The reversal of 66830772 is 27703866.

66830772 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×668307722 = 8932704172231968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

66830772 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 66830772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66830773) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64243 + ... + 65274.

Almost surely, 266830772 is an apocalyptic number.

It is an amenable number.

66830772 is an abundant number, since it is smaller than the sum of its proper divisors (92735404).

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

66830772 is a wasteful number, since it uses less digits than its factorization.

66830772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129567 (or 129565 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 66830772 is about 8175.0089908207. The cubic root of 66830772 is about 405.8125676777.

The spelling of 66830772 in words is "sixty-six million, eight hundred thirty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 129517 259034 388551 518068 777102 1554204 5569231 11138462 16707693 22276924 33415386 66830772