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20721834 = 23272953107
BaseRepresentation
bin100111100001…
…1000010101010
31102222210000100
41033003002222
520301044314
62020050230
7341063340
oct117030252
942883010
1020721834
1110773691
126b33976
1343a6b53
142a75990
151c44c09
hex13c30aa

20721834 has 96 divisors (see below), whose sum is σ = 54587520. Its totient is φ = 5556096.

The previous prime is 20721817. The next prime is 20721871. The reversal of 20721834 is 43812702.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20721798 and 20721807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193609 + ... + 193715.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 220721834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20721834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27293760).

20721834 is an abundant number, since it is smaller than the sum of its proper divisors (33865686).

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

20721834 is a wasteful number, since it uses less digits than its factorization.

20721834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 20721834 is about 4552.1241195732. The cubic root of 20721834 is about 274.6688421477.

The spelling of 20721834 in words is "twenty million, seven hundred twenty-one thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 53 58 63 87 106 107 126 159 174 203 214 261 318 321 371 406 477 522 609 642 742 749 954 963 1113 1218 1498 1537 1827 1926 2226 2247 3074 3103 3339 3654 4494 4611 5671 6206 6678 6741 9222 9309 10759 11342 13482 13833 17013 18618 21518 21721 27666 27927 32277 34026 39697 43442 51039 55854 64554 65163 79394 96831 102078 119091 130326 164459 193662 195489 238182 328918 357273 390978 493377 714546 986754 1151213 1480131 2302426 2960262 3453639 6907278 10360917 20721834