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20102264 = 2371353521
BaseRepresentation
bin100110010101…
…1110001111000
31101211022010022
41030223301320
520121233024
61554510012
7332603120
oct114536170
941738108
1020102264
1110390146
126895308
13421ab40
142953c80
151b7135e
hex132bc78

20102264 has 64 divisors (see below), whose sum is σ = 47355840. Its totient is φ = 7787520.

The previous prime is 20102263. The next prime is 20102267. The reversal of 20102264 is 46220102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 38324 + ... + 38844.

It is an arithmetic number, because the mean of its divisors is an integer number (739935).

Almost surely, 220102264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20102264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23677920).

20102264 is an abundant number, since it is smaller than the sum of its proper divisors (27253576).

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

20102264 is a wasteful number, since it uses less digits than its factorization.

20102264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 20102264 is about 4483.5548396334. The cubic root of 20102264 is about 271.9036206977.

Adding to 20102264 its reverse (46220102), we get a palindrome (66322366).

The spelling of 20102264 in words is "twenty million, one hundred two thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 53 56 91 104 106 182 212 364 371 424 521 689 728 742 1042 1378 1484 2084 2756 2968 3647 4168 4823 5512 6773 7294 9646 13546 14588 19292 27092 27613 29176 38584 47411 54184 55226 94822 110452 189644 193291 220904 358969 379288 386582 717938 773164 1435876 1546328 2512783 2871752 5025566 10051132 20102264