Search a number
-
+
21137940 = 22325432731
BaseRepresentation
bin101000010100…
…0101000010100
31110202220210200
41100220220110
520402403230
62033020500
7344445435
oct120505024
943686720
1021137940
1110a2827a
1270b4730
1344c1375
142b4348c
151cc8160
hex1428a14

21137940 has 72 divisors (see below), whose sum is σ = 65633568. Its totient is φ = 5503680.

The previous prime is 21137929. The next prime is 21137959. The reversal of 21137940 is 4973112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6375 + ... + 9105.

Almost surely, 221137940 is an apocalyptic number.

21137940 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 21137940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32816784).

21137940 is an abundant number, since it is smaller than the sum of its proper divisors (44495628).

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

21137940 is a wasteful number, since it uses less digits than its factorization.

21137940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2784 counting only the distinct ones).

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

The square root of 21137940 is about 4597.6015486338. The cubic root of 21137940 is about 276.4951728287.

The spelling of 21137940 in words is "twenty-one million, one hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 2731 3870 5462 7740 8193 10924 13655 16386 24579 27310 32772 40965 49158 54620 81930 98316 117433 122895 163860 234866 245790 352299 469732 491580 587165 704598 1056897 1174330 1409196 1761495 2113794 2348660 3522990 4227588 5284485 7045980 10568970 21137940