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16066692 = 22324397107
BaseRepresentation
bin111101010010…
…100010000100
31010020021100200
4331102202010
513103113232
61332210500
7253364445
oct75224204
933207320
1016066692
119084164
125469a30
133437025
1421c32cc
15162577c
hexf52884

16066692 has 72 divisors (see below), whose sum is σ = 42378336. Its totient is φ = 5128704.

The previous prime is 16066691. The next prime is 16066693. The reversal of 16066692 is 29666061.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16066691) and next prime (16066693).

It is a super-3 number, since 3×160666923 (a number of 23 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16066691) 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, 150103 + ... + 150209.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 216066692 is an apocalyptic number.

16066692 is a gapful number since it is divisible by the number (12) 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 16066692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189168).

16066692 is an abundant number, since it is smaller than the sum of its proper divisors (26311644).

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

16066692 is a wasteful number, since it uses less digits than its factorization.

16066692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 16066692 is about 4008.3278309041. The cubic root of 16066692 is about 252.3338357133. Note that the first 3 decimals are identical.

The spelling of 16066692 in words is "sixteen million, sixty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 97 107 129 172 194 214 258 291 321 387 388 428 516 582 642 774 873 963 1164 1284 1548 1746 1926 3492 3852 4171 4601 8342 9202 10379 12513 13803 16684 18404 20758 25026 27606 31137 37539 41409 41516 50052 55212 62274 75078 82818 93411 124548 150156 165636 186822 373644 446297 892594 1338891 1785188 2677782 4016673 5355564 8033346 16066692