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16868736 = 27341627
BaseRepresentation
bin100000001011…
…0010110000000
31011202000120000
41000112112000
513304244421
61401320000
7263244663
oct100262600
934660500
1016868736
119581805
125796000
133658101
1423516da
151733226
hex1016580

16868736 has 80 divisors (see below), whose sum is σ = 50231940. Its totient is φ = 5619456.

The previous prime is 16868701. The next prime is 16868759. The reversal of 16868736 is 63786861.

It is a junction number, because it is equal to n+sod(n) for n = 16868691 and 16868700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9555 + ... + 11181.

Almost surely, 216868736 is an apocalyptic number.

16868736 is a gapful number since it is divisible by the number (16) 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 16868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25115970).

16868736 is an abundant number, since it is smaller than the sum of its proper divisors (33363204).

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

16868736 is an equidigital number, since it uses as much as digits as its factorization.

16868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1632 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 16868736 is about 4107.1566807221. The cubic root of 16868736 is about 256.4646509202.

The spelling of 16868736 in words is "sixteen million, eight hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1627 1728 2592 3254 3456 4881 5184 6508 9762 10368 13016 14643 19524 26032 29286 39048 43929 52064 58572 78096 87858 104128 117144 131787 156192 175716 208256 234288 263574 312384 351432 468576 527148 624768 702864 937152 1054296 1405728 1874304 2108592 2811456 4217184 5622912 8434368 16868736