Base | Representation |
---|---|
bin | 1111101111101… |
… | …0011001101100 |
3 | 11121021001020000 |
4 | 3323322121230 |
5 | 113401143411 |
6 | 10315224300 |
7 | 1431210510 |
oct | 373723154 |
9 | 147231200 |
10 | 66037356 |
11 | 34304930 |
12 | 1a148090 |
13 | 108b1c78 |
14 | 8ab0140 |
15 | 5be6956 |
hex | 3efa66c |
66037356 has 120 divisors (see below), whose sum is σ = 215314176. Its totient is φ = 17146080.
The previous prime is 66037337. The next prime is 66037399. The reversal of 66037356 is 65373066.
It is a super-3 number, since 3×660373563 (a number of 24 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 66037356.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23625 + ... + 26271.
Almost surely, 266037356 is an apocalyptic number.
66037356 is a gapful number since it is divisible by the number (66) 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 66037356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107657088).
66037356 is an abundant number, since it is smaller than the sum of its proper divisors (149276820).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
66037356 is a wasteful number, since it uses less digits than its factorization.
66037356 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2681 (or 2670 counting only the distinct ones).
The product of its (nonzero) digits is 68040, while the sum is 36.
The square root of 66037356 is about 8126.3371822735. The cubic root of 66037356 is about 404.2002324103.
The spelling of 66037356 in words is "sixty-six million, thirty-seven thousand, three hundred fifty-six".
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