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21930040 = 23511223197
BaseRepresentation
bin101001110101…
…0000000111000
31112021011100201
41103222000320
521103230130
62102011544
7354254656
oct123520070
945234321
1021930040
1111419400
127416bb4
13470aa72
142cabdd6
151dd2bca
hex14ea038

21930040 has 96 divisors (see below), whose sum is σ = 56881440. Its totient is φ = 7589120.

The previous prime is 21929993. The next prime is 21930101. The reversal of 21930040 is 4003912.

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, 111222 + ... + 111418.

It is an arithmetic number, because the mean of its divisors is an integer number (592515).

Almost surely, 221930040 is an apocalyptic number.

21930040 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 21930040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440720).

21930040 is an abundant number, since it is smaller than the sum of its proper divisors (34951400).

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

21930040 is a wasteful number, since it uses less digits than its factorization.

21930040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 21930040 is about 4682.9520603995. The cubic root of 21930040 is about 279.9066015020.

Adding to 21930040 its reverse (4003912), we get a palindrome (25933952).

The spelling of 21930040 in words is "twenty-one million, nine hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 121 184 197 220 230 242 253 394 440 460 484 506 605 788 920 968 985 1012 1210 1265 1576 1970 2024 2167 2420 2530 2783 3940 4334 4531 4840 5060 5566 7880 8668 9062 10120 10835 11132 13915 17336 18124 21670 22264 22655 23837 27830 36248 43340 45310 47674 49841 55660 86680 90620 95348 99682 111320 119185 181240 190696 199364 238370 249205 398728 476740 498410 548251 953480 996820 1096502 1993640 2193004 2741255 4386008 5482510 10965020 21930040