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16003416 = 23311134663
BaseRepresentation
bin111101000011…
…000101011000
31010010001120010
4331003011120
513044102131
61331001520
7253012122
oct75030530
933101503
1016003416
119040670
1254392a0
1334142a0
1421a8212
151611b46
hexf43158

16003416 has 64 divisors (see below), whose sum is σ = 47013120. Its totient is φ = 4475520.

The previous prime is 16003391. The next prime is 16003441. The reversal of 16003416 is 61430061.

It is an interprime number because it is at equal distance from previous prime (16003391) and next prime (16003441).

It is a super-2 number, since 2×160034162 = 512218647338112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16003392 and 16003401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1101 + ... + 5763.

It is an arithmetic number, because the mean of its divisors is an integer number (734580).

Almost surely, 216003416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16003416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23506560).

16003416 is an abundant number, since it is smaller than the sum of its proper divisors (31009704).

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

16003416 is a wasteful number, since it uses less digits than its factorization.

16003416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4692 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 16003416 is about 4000.4269772113. The cubic root of 16003416 is about 252.0021415792.

Adding to 16003416 its reverse (61430061), we get a palindrome (77433477).

The spelling of 16003416 in words is "sixteen million, three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 4663 9326 13989 18652 27978 37304 51293 55956 60619 102586 111912 121238 153879 181857 205172 242476 307758 363714 410344 484952 615516 666809 727428 1231032 1333618 1454856 2000427 2667236 4000854 5334472 8001708 16003416