Search a number
-
+
21365326260 = 2234522758099
BaseRepresentation
bin10011111001011110…
…010000000110110100
32001010222122000210000
4103321132100012310
5322224010420020
613452021031300
71354311163635
oct237136200664
961128560700
1021365326260
119074195933
124183255530
132026505cb5
14106976d88c
15850a62090
hex4f97901b4

21365326260 has 120 divisors (see below), whose sum is σ = 67320237600. Its totient is φ = 5672223936.

The previous prime is 21365326253. The next prime is 21365326271. The reversal of 21365326260 is 6262356312.

21365326260 is a `hidden beast` number, since 2 + 1 + 3 + 6 + 532 + 62 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 338691 + ... + 396789.

It is an arithmetic number, because the mean of its divisors is an integer number (561001980).

Almost surely, 221365326260 is an apocalyptic number.

21365326260 is a gapful number since it is divisible by the number (20) 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 21365326260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33660118800).

21365326260 is an abundant number, since it is smaller than the sum of its proper divisors (45954911340).

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

21365326260 is a wasteful number, since it uses less digits than its factorization.

21365326260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58347 (or 58336 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 21365326260 in words is "twenty-one billion, three hundred sixty-five million, three hundred twenty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 227 270 324 405 454 540 681 810 908 1135 1362 1620 2043 2270 2724 3405 4086 4540 6129 6810 8172 10215 12258 13620 18387 20430 24516 30645 36774 40860 58099 61290 73548 91935 116198 122580 174297 183870 232396 290495 348594 367740 522891 580990 697188 871485 1045782 1161980 1568673 1742970 2091564 2614455 3137346 3485940 4706019 5228910 6274692 7843365 9412038 10457820 13188473 15686730 18824076 23530095 26376946 31373460 39565419 47060190 52753892 65942365 79130838 94120380 118696257 131884730 158261676 197827095 237392514 263769460 356088771 395654190 474785028 593481285 712177542 791308380 1068266313 1186962570 1424355084 1780443855 2136532626 2373925140 3560887710 4273065252 5341331565 7121775420 10682663130 21365326260