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20959092 = 22327117561
BaseRepresentation
bin100111111110…
…0111101110100
31110102211110200
41033330331310
520331142332
62025120500
7343102140
oct117747564
943384420
1020959092
1110915970
127029130
13445ab3b
142ad8220
151c9017c
hex13fcf74

20959092 has 72 divisors (see below), whose sum is σ = 66061632. Its totient is φ = 5443200.

The previous prime is 20959091. The next prime is 20959097. The reversal of 20959092 is 29095902.

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 (20959091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009 + ... + 6552.

Almost surely, 220959092 is an apocalyptic number.

20959092 is a gapful number since it is divisible by the number (22) 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 20959092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33030816).

20959092 is an abundant number, since it is smaller than the sum of its proper divisors (45102540).

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

20959092 is a wasteful number, since it uses less digits than its factorization.

20959092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 20959092 is about 4578.1100904194. The cubic root of 20959092 is about 275.7131550433.

The spelling of 20959092 in words is "twenty million, nine hundred fifty-nine thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 7561 15122 22683 30244 45366 52927 68049 83171 90732 105854 136098 158781 166342 211708 249513 272196 317562 332684 476343 499026 582197 635124 748539 952686 998052 1164394 1497078 1746591 1905372 2328788 2994156 3493182 5239773 6986364 10479546 20959092