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20634264 = 233474549
BaseRepresentation
bin100111010110…
…1101010011000
31102211022220000
41032231222120
520240244024
62014133000
7340250130
oct116555230
942738800
1020634264
1110713912
126ab1160
134376031
142a51ac0
151c28cc9
hex13ada98

20634264 has 80 divisors (see below), whose sum is σ = 66066000. Its totient is φ = 5894208.

The previous prime is 20634259. The next prime is 20634293. The reversal of 20634264 is 46243602.

20634264 is a `hidden beast` number, since 2 + 0 + 634 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 2262 + ... + 6810.

It is an arithmetic number, because the mean of its divisors is an integer number (825825).

Almost surely, 220634264 is an apocalyptic number.

20634264 is a gapful number since it is divisible by the number (24) 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 20634264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33033000).

20634264 is an abundant number, since it is smaller than the sum of its proper divisors (45431736).

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

20634264 is a wasteful number, since it uses less digits than its factorization.

20634264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4561 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 20634264 is about 4542.4953494748. The cubic root of 20634264 is about 274.2813810699.

Adding to 20634264 its reverse (46243602), we get a palindrome (66877866).

The spelling of 20634264 in words is "twenty million, six hundred thirty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1512 2268 4536 4549 9098 13647 18196 27294 31843 36392 40941 54588 63686 81882 95529 109176 122823 127372 163764 191058 245646 254744 286587 327528 368469 382116 491292 573174 736938 764232 859761 982584 1146348 1473876 1719522 2292696 2579283 2947752 3439044 5158566 6878088 10317132 20634264