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16993890 = 2325316091
BaseRepresentation
bin100000011010…
…0111001100010
31011222101020100
41000310321202
513322301030
61404123230
7264305604
oct100647142
934871210
1016993890
119657841
125836516
1336a0074
142385174
15175a360
hex1034e62

16993890 has 48 divisors (see below), whose sum is σ = 45616896. Its totient is φ = 4384800.

The previous prime is 16993877. The next prime is 16993903. The reversal of 16993890 is 9839961.

It is an interprime number because it is at equal distance from previous prime (16993877) and next prime (16993903).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256 + ... + 5835.

It is an arithmetic number, because the mean of its divisors is an integer number (950352).

Almost surely, 216993890 is an apocalyptic number.

16993890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16993890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22808448).

16993890 is an abundant number, since it is smaller than the sum of its proper divisors (28623006).

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

16993890 is a wasteful number, since it uses less digits than its factorization.

16993890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 16993890 is about 4122.3646126950. The cubic root of 16993890 is about 257.0973504127.

The spelling of 16993890 in words is "sixteen million, nine hundred ninety-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 6091 12182 18273 30455 36546 54819 60910 91365 109638 182730 188821 274095 377642 548190 566463 944105 1132926 1699389 1888210 2832315 3398778 5664630 8496945 16993890