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23263820 = 22517531291
BaseRepresentation
bin101100010111…
…1101001001100
31121202220221222
41120233221030
521423420240
62150342512
7401511356
oct130575114
947686858
1023263820
111214a4a8
12795aa38
134a86b98
1431380d6
152097eb5
hex162fa4c

23263820 has 48 divisors (see below), whose sum is σ = 52744608. Its totient is φ = 8586240.

The previous prime is 23263819. The next prime is 23263831. The reversal of 23263820 is 2836232.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 23263820.

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 15 ways as a sum of consecutive naturals, for example, 17375 + ... + 18665.

It is an arithmetic number, because the mean of its divisors is an integer number (1098846).

Almost surely, 223263820 is an apocalyptic number.

23263820 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 23263820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26372304).

23263820 is an abundant number, since it is smaller than the sum of its proper divisors (29480788).

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

23263820 is a wasteful number, since it uses less digits than its factorization.

23263820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 23263820 is about 4823.2582348450. The cubic root of 23263820 is about 285.4699131897.

The spelling of 23263820 in words is "twenty-three million, two hundred sixty-three thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1291 1802 2582 3604 4505 5164 6455 9010 12910 18020 21947 25820 43894 68423 87788 109735 136846 219470 273692 342115 438940 684230 1163191 1368460 2326382 4652764 5815955 11631910 23263820