Search a number
-
+
21940380 = 223257111583
BaseRepresentation
bin101001110110…
…0100010011100
31112021200112200
41103230202130
521104043010
62102131500
7354330060
oct123544234
945250480
1021940380
1111426150
127420b90
134712697
142cb1aa0
151dd5cc0
hex14ec89c

21940380 has 144 divisors (see below), whose sum is σ = 83026944. Its totient is φ = 4556160.

The previous prime is 21940313. The next prime is 21940381. The reversal of 21940380 is 8304912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21940381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13069 + ... + 14651.

It is an arithmetic number, because the mean of its divisors is an integer number (576576).

Almost surely, 221940380 is an apocalyptic number.

21940380 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 21940380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41513472).

21940380 is an abundant number, since it is smaller than the sum of its proper divisors (61086564).

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

21940380 is a wasteful number, since it uses less digits than its factorization.

21940380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1616 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 21940380 is about 4684.0559347642. The cubic root of 21940380 is about 279.9505865183.

The spelling of 21940380 in words is "twenty-one million, nine hundred forty thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1583 1980 2310 2772 3166 3465 4620 4749 6332 6930 7915 9498 11081 13860 14247 15830 17413 18996 22162 23745 28494 31660 33243 34826 44324 47490 52239 55405 56988 66486 69652 71235 87065 94980 99729 104478 110810 121891 132972 142470 156717 166215 174130 199458 208956 221620 243782 261195 284940 313434 332430 348260 365673 398916 487564 498645 522390 609455 626868 664860 731346 783585 997290 1044780 1097019 1218910 1462692 1567170 1828365 1994580 2194038 2437820 3134340 3656730 4388076 5485095 7313460 10970190 21940380