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20007834 = 23711231127
BaseRepresentation
bin100110001010…
…0101110011010
31101122111120220
41030110232122
520110222314
61552500510
7332030610
oct114245632
941574526
1020007834
1110326200
12684a736
1341b6b72
14292b6b0
151b533a9
hex1314b9a

20007834 has 96 divisors (see below), whose sum is σ = 52297728. Its totient is φ = 4989600.

The previous prime is 20007811. The next prime is 20007847. The reversal of 20007834 is 43870002.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157479 + ... + 157605.

It is an arithmetic number, because the mean of its divisors is an integer number (544768).

Almost surely, 220007834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20007834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26148864).

20007834 is an abundant number, since it is smaller than the sum of its proper divisors (32289894).

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

20007834 is a wasteful number, since it uses less digits than its factorization.

20007834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 20007834 is about 4473.0117370738. The cubic root of 20007834 is about 271.4771982791.

Adding to 20007834 its reverse (43870002), we get a palindrome (63877836).

The spelling of 20007834 in words is "twenty million, seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 127 154 186 217 231 242 254 341 363 381 434 462 651 682 726 762 847 889 1023 1302 1397 1694 1778 2046 2387 2541 2667 2794 3751 3937 4191 4774 5082 5334 7161 7502 7874 8382 9779 11253 11811 14322 15367 19558 22506 23622 26257 27559 29337 30734 43307 46101 52514 55118 58674 78771 82677 86614 92202 107569 129921 157542 165354 215138 259842 303149 322707 476377 606298 645414 909447 952754 1429131 1818894 2858262 3334639 6669278 10003917 20007834