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16002714 = 2372135379
BaseRepresentation
bin111101000010…
…111010011010
31010010000121010
4331002322122
513044041324
61330554350
7253010100
oct75027232
933100533
1016002714
119040092
1254389b6
133413b80
1421a7c70
151611829
hexf42e9a

16002714 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 4088448.

The previous prime is 16002713. The next prime is 16002737. The reversal of 16002714 is 41720061.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16002713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202527 + ... + 202605.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 216002714 is an apocalyptic number.

16002714 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16002714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

16002714 is an abundant number, since it is smaller than the sum of its proper divisors (25365606).

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

16002714 is a wasteful number, since it uses less digits than its factorization.

16002714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 16002714 is about 4000.3392356149. The cubic root of 16002714 is about 251.9984567807.

Adding to 16002714 its reverse (41720061), we get a palindrome (57722775).

The spelling of 16002714 in words is "sixteen million, two thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 53 78 79 91 98 106 147 158 159 182 237 273 294 318 371 474 546 553 637 689 742 1027 1106 1113 1274 1378 1659 1911 2054 2067 2226 2597 3081 3318 3822 3871 4134 4187 4823 5194 6162 7189 7742 7791 8374 9646 11613 12561 14378 14469 15582 21567 23226 25122 28938 29309 33761 43134 50323 54431 58618 67522 87927 100646 101283 108862 150969 163293 175854 202566 205163 301938 326586 381017 410326 615489 762034 1143051 1230978 2286102 2667119 5334238 8001357 16002714