Search a number
-
+
21422940 = 22357114637
BaseRepresentation
bin101000110111…
…0001101011100
31111022101202020
41101232031130
520441013230
62043100140
7350043360
oct121561534
944271666
1021422940
1111102410
127211650
134590cc6
142bb92a0
151d32810
hex146e35c

21422940 has 96 divisors (see below), whose sum is σ = 74801664. Its totient is φ = 4450560.

The previous prime is 21422939. The next prime is 21422993. The reversal of 21422940 is 4922412.

It is a super-3 number, since 3×214229403 (a number of 23 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21422940.

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, 2302 + ... + 6938.

It is an arithmetic number, because the mean of its divisors is an integer number (779184).

Almost surely, 221422940 is an apocalyptic number.

21422940 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 21422940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37400832).

21422940 is an abundant number, since it is smaller than the sum of its proper divisors (53378724).

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

21422940 is a wasteful number, since it uses less digits than its factorization.

21422940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4667 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 21422940 is about 4628.4921950890. The cubic root of 21422940 is about 277.7322785329.

The spelling of 21422940 in words is "twenty-one million, four hundred twenty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 4637 9274 13911 18548 23185 27822 32459 46370 51007 55644 64918 69555 92740 97377 102014 129836 139110 153021 162295 194754 204028 255035 278220 306042 324590 357049 389508 486885 510070 612084 649180 714098 765105 973770 1020140 1071147 1428196 1530210 1785245 1947540 2142294 3060420 3570490 4284588 5355735 7140980 10711470 21422940