Search a number
-
+
21739860 = 22335127317
BaseRepresentation
bin101001011101…
…1100101010100
31111220111111000
41102323211110
521031133420
62053543300
7352533342
oct122734524
944814430
1021739860
11112a952a
127344b30
13467232c
142c5c992
151d96690
hex14bb954

21739860 has 96 divisors (see below), whose sum is σ = 68382720. Its totient is φ = 5733504.

The previous prime is 21739859. The next prime is 21739873. The reversal of 21739860 is 6893712.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68422 + ... + 68738.

It is an arithmetic number, because the mean of its divisors is an integer number (712320).

Almost surely, 221739860 is an apocalyptic number.

21739860 is a gapful number since it is divisible by the number (20) 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 21739860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34191360).

21739860 is an abundant number, since it is smaller than the sum of its proper divisors (46642860).

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

21739860 is a wasteful number, since it uses less digits than its factorization.

21739860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21739860 is about 4662.6022776986. The cubic root of 21739860 is about 279.0951230741.

The spelling of 21739860 in words is "twenty-one million, seven hundred thirty-nine thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 127 135 180 254 270 317 381 508 540 634 635 762 951 1143 1268 1270 1524 1585 1902 1905 2286 2540 2853 3170 3429 3804 3810 4572 4755 5706 5715 6340 6858 7620 8559 9510 11412 11430 13716 14265 17118 17145 19020 22860 28530 34236 34290 40259 42795 57060 68580 80518 85590 120777 161036 171180 201295 241554 362331 402590 483108 603885 724662 805180 1086993 1207770 1449324 1811655 2173986 2415540 3623310 4347972 5434965 7246620 10869930 21739860