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21794292 = 22331319243
BaseRepresentation
bin101001100100…
…0110111110100
31112000021011000
41103020313310
521034404132
62055043300
7353151132
oct123106764
945007130
1021794292
1111336413
127370530
134691040
142c74752
151da787c
hex14c8df4

21794292 has 144 divisors (see below), whose sum is σ = 65714880. Its totient is φ = 6205248.

The previous prime is 21794287. The next prime is 21794299. The reversal of 21794292 is 29249712.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21794299) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 506823 + ... + 506865.

Almost surely, 221794292 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21794292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32857440).

21794292 is an abundant number, since it is smaller than the sum of its proper divisors (43920588).

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

21794292 is a wasteful number, since it uses less digits than its factorization.

21794292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 80 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 21794292 is about 4668.4357123131. The cubic root of 21794292 is about 279.3278606110.

The spelling of 21794292 in words is "twenty-one million, seven hundred ninety-four thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 43 52 54 57 76 78 86 108 114 117 129 156 171 172 228 234 247 258 342 351 361 387 468 494 513 516 559 684 702 722 741 774 817 988 1026 1083 1118 1161 1404 1444 1482 1548 1634 1677 2052 2166 2223 2236 2322 2451 2964 3249 3268 3354 4332 4446 4644 4693 4902 5031 6498 6669 6708 7353 8892 9386 9747 9804 10062 10621 12996 13338 14079 14706 15093 15523 18772 19494 20124 21242 22059 26676 28158 29412 30186 31046 31863 38988 42237 42484 44118 46569 56316 60372 62092 63726 84474 88236 93138 95589 126711 127452 139707 168948 186276 191178 201799 253422 279414 286767 382356 403598 419121 506844 558828 573534 605397 807196 838242 1147068 1210794 1676484 1816191 2421588 3632382 5448573 7264764 10897146 21794292