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16968644 = 22711371489
BaseRepresentation
bin100000010111…
…0101111000100
31011221002121022
41000232233010
513320444034
61403410312
7264142160
oct100565704
934832538
1016968644
11963a880
125823998
133691724
142379ca0
151752b2e
hex102ebc4

16968644 has 48 divisors (see below), whose sum is σ = 38048640. Its totient is φ = 6428160.

The previous prime is 16968643. The next prime is 16968649. The reversal of 16968644 is 44686961.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 16968595 and 16968604.

It is not an unprimeable number, because it can be changed into a prime (16968643) by changing a digit.

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, 10652 + ... + 12140.

It is an arithmetic number, because the mean of its divisors is an integer number (792680).

Almost surely, 216968644 is an apocalyptic number.

16968644 is a gapful number since it is divisible by the number (14) 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 16968644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19024320).

16968644 is an abundant number, since it is smaller than the sum of its proper divisors (21079996).

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

16968644 is a wasteful number, since it uses less digits than its factorization.

16968644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1546 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 16968644 is about 4119.3013970818. The cubic root of 16968644 is about 256.9699733273.

It can be divided in two parts, 169 and 68644, that multiplied together give a square (11600836 = 34062).

The spelling of 16968644 in words is "sixteen million, nine hundred sixty-eight thousand, six hundred forty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 148 154 259 308 407 518 814 1036 1489 1628 2849 2978 5698 5956 10423 11396 16379 20846 32758 41692 55093 65516 110186 114653 220372 229306 385651 458612 606023 771302 1212046 1542604 2424092 4242161 8484322 16968644