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16945744 = 242959619
BaseRepresentation
bin100000010100…
…1001001010000
31011212221012011
41000221021100
513314230434
61403112304
7264015334
oct100511120
934787164
1016945744
119624652
125812694
13368418a
1423717c4
15174ae64
hex1029250

16945744 has 40 divisors (see below), whose sum is σ = 34596000. Its totient is φ = 8029056.

The previous prime is 16945729. The next prime is 16945759. The reversal of 16945744 is 44754961.

It is an interprime number because it is at equal distance from previous prime (16945729) and next prime (16945759).

It is a junction number, because it is equal to n+sod(n) for n = 16945697 and 16945706.

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 7 ways as a sum of consecutive naturals, for example, 27067 + ... + 27685.

It is an arithmetic number, because the mean of its divisors is an integer number (864900).

Almost surely, 216945744 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 16945744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17298000).

16945744 is an abundant number, since it is smaller than the sum of its proper divisors (17650256).

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

16945744 is a wasteful number, since it uses less digits than its factorization.

16945744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 709 counting only the distinct ones).

The product of its digits is 120960, while the sum is 40.

The square root of 16945744 is about 4116.5208611156. The cubic root of 16945744 is about 256.8543235134.

It can be divided in two parts, 16945 and 744, that added together give a square (17689 = 1332).

The spelling of 16945744 in words is "sixteen million, nine hundred forty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 29 58 59 116 118 232 236 464 472 619 944 1238 1711 2476 3422 4952 6844 9904 13688 17951 27376 35902 36521 71804 73042 143608 146084 287216 292168 584336 1059109 2118218 4236436 8472872 16945744