Search a number
-
+
16887420 = 22335112843
BaseRepresentation
bin100000001101…
…0111001111100
31011202222012000
41000122321330
513310344140
61401542300
7263353314
oct100327174
934688160
1016887420
119594850
1257a4990
133663774
142358444
151738a30
hex101ae7c

16887420 has 96 divisors (see below), whose sum is σ = 57335040. Its totient is φ = 4092480.

The previous prime is 16887419. The next prime is 16887439. The reversal of 16887420 is 2478861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4519 + ... + 7361.

It is an arithmetic number, because the mean of its divisors is an integer number (597240).

Almost surely, 216887420 is an apocalyptic number.

16887420 is a gapful number since it is divisible by the number (10) 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 16887420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28667520).

16887420 is an abundant number, since it is smaller than the sum of its proper divisors (40447620).

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

16887420 is a wasteful number, since it uses less digits than its factorization.

16887420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 16887420 is about 4109.4306174944. The cubic root of 16887420 is about 256.5593036845.

The spelling of 16887420 in words is "sixteen million, eight hundred eighty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2843 2970 5686 5940 8529 11372 14215 17058 25587 28430 31273 34116 42645 51174 56860 62546 76761 85290 93819 102348 125092 127935 153522 156365 170580 187638 255870 281457 307044 312730 375276 383805 469095 511740 562914 625460 767610 844371 938190 1125828 1407285 1535220 1688742 1876380 2814570 3377484 4221855 5629140 8443710 16887420