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16993944 = 23321143499
BaseRepresentation
bin100000011010…
…0111010011000
31011222101022100
41000310322120
513322301234
61404123400
7264306012
oct100647230
934871270
1016993944
119657890
125836560
1336a00b6
1423851b2
15175a399
hex1034e98

16993944 has 96 divisors (see below), whose sum is σ = 51480000. Its totient is φ = 5019840.

The previous prime is 16993943. The next prime is 16993969. The reversal of 16993944 is 44939961.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16993944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16993943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33807 + ... + 34305.

It is an arithmetic number, because the mean of its divisors is an integer number (536250).

Almost surely, 216993944 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 16993944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740000).

16993944 is an abundant number, since it is smaller than the sum of its proper divisors (34486056).

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

16993944 is a wasteful number, since it uses less digits than its factorization.

16993944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 16993944 is about 4122.3711623288. The cubic root of 16993944 is about 257.0976227310.

The spelling of 16993944 in words is "sixteen million, nine hundred ninety-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 43 44 66 72 86 88 99 129 132 172 198 258 264 344 387 396 473 499 516 774 792 946 998 1032 1419 1497 1548 1892 1996 2838 2994 3096 3784 3992 4257 4491 5489 5676 5988 8514 8982 10978 11352 11976 16467 17028 17964 21457 21956 32934 34056 35928 42914 43912 49401 64371 65868 85828 98802 128742 131736 171656 193113 197604 236027 257484 386226 395208 472054 514968 708081 772452 944108 1416162 1544904 1888216 2124243 2832324 4248486 5664648 8496972 16993944