Search a number
-
+
21379140 = 223555383
BaseRepresentation
bin101000110001…
…1100001000100
31111020011200000
41101203201010
520433113030
62042121300
7346501566
oct121434104
944204600
1021379140
1111082512
1271b0230
1345770a3
142ba7336
151d24860
hex1463844

21379140 has 144 divisors (see below), whose sum is σ = 69346368. Its totient is φ = 5526144.

The previous prime is 21379129. The next prime is 21379157. The reversal of 21379140 is 4197312.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257539 + ... + 257621.

It is an arithmetic number, because the mean of its divisors is an integer number (481572).

Almost surely, 221379140 is an apocalyptic number.

21379140 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 21379140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673184).

21379140 is an abundant number, since it is smaller than the sum of its proper divisors (47967228).

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

21379140 is a wasteful number, since it uses less digits than its factorization.

21379140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 21379140 is about 4623.7582116715. The cubic root of 21379140 is about 277.5428713895.

The spelling of 21379140 in words is "twenty-one million, three hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 83 90 106 108 135 159 162 166 180 212 243 249 265 270 318 324 332 405 415 477 486 498 530 540 636 747 795 810 830 954 972 996 1060 1215 1245 1431 1494 1590 1620 1660 1908 2241 2385 2430 2490 2862 2988 3180 3735 4293 4399 4482 4770 4860 4980 5724 6723 7155 7470 8586 8798 8964 9540 11205 12879 13197 13446 14310 14940 17172 17596 20169 21465 21995 22410 25758 26394 26892 28620 33615 39591 40338 42930 43990 44820 51516 52788 64395 65985 67230 79182 80676 85860 87980 100845 118773 128790 131970 134460 158364 197955 201690 237546 257580 263940 356319 395910 403380 475092 593865 712638 791820 1068957 1187730 1425276 1781595 2137914 2375460 3563190 4275828 5344785 7126380 10689570 21379140