Search a number
-
+
21839440 = 245759661
BaseRepresentation
bin101001101001…
…1111001010000
31112002120002011
41103103321100
521042330230
62100032304
7353426560
oct123237120
945076064
1021839440
1111367327
127392694
1346a875c
142c86da0
151db5e2a
hex14d3e50

21839440 has 80 divisors (see below), whose sum is σ = 59103360. Its totient is φ = 7349760.

The previous prime is 21839437. The next prime is 21839459. The reversal of 21839440 is 4493812.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×218394402 = 953922279027200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32710 + ... + 33370.

It is an arithmetic number, because the mean of its divisors is an integer number (738792).

Almost surely, 221839440 is an apocalyptic number.

21839440 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 21839440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29551680).

21839440 is an abundant number, since it is smaller than the sum of its proper divisors (37263920).

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

21839440 is a wasteful number, since it uses less digits than its factorization.

21839440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 21839440 is about 4673.2686633661. The cubic root of 21839440 is about 279.5206082669.

The spelling of 21839440 in words is "twenty-one million, eight hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 59 70 80 112 118 140 236 280 295 413 472 560 590 661 826 944 1180 1322 1652 2065 2360 2644 3304 3305 4130 4627 4720 5288 6608 6610 8260 9254 10576 13220 16520 18508 23135 26440 33040 37016 38999 46270 52880 74032 77998 92540 155996 185080 194995 272993 311992 370160 389990 545986 623984 779980 1091972 1364965 1559960 2183944 2729930 3119920 4367888 5459860 10919720 21839440