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23420320 = 2557111901
BaseRepresentation
bin101100101010…
…1110110100000
31122001212122021
41121111312200
521443422240
62153551224
7403032550
oct131256640
948055567
1023420320
1112247040
127a15514
134b101a1
143179160
1520c954a
hex1655da0

23420320 has 96 divisors (see below), whose sum is σ = 69019776. Its totient is φ = 7296000.

The previous prime is 23420281. The next prime is 23420323. The reversal of 23420320 is 2302432.

It is a super-2 number, since 2×234203202 = 1097022777804800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 23420294 and 23420303.

It is not an unprimeable number, because it can be changed into a prime (23420323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11370 + ... + 13270.

It is an arithmetic number, because the mean of its divisors is an integer number (718956).

Almost surely, 223420320 is an apocalyptic number.

23420320 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 23420320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34509888).

23420320 is an abundant number, since it is smaller than the sum of its proper divisors (45599456).

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

23420320 is a wasteful number, since it uses less digits than its factorization.

23420320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 23420320 is about 4839.4545147155. The cubic root of 23420320 is about 286.1086193127.

Adding to 23420320 its reverse (2302432), we get a palindrome (25722752).

The spelling of 23420320 in words is "twenty-three million, four hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 140 154 160 176 220 224 280 308 352 385 440 560 616 770 880 1120 1232 1540 1760 1901 2464 3080 3802 6160 7604 9505 12320 13307 15208 19010 20911 26614 30416 38020 41822 53228 60832 66535 76040 83644 104555 106456 133070 146377 152080 167288 209110 212912 266140 292754 304160 334576 418220 425824 532280 585508 669152 731885 836440 1064560 1171016 1463770 1672880 2129120 2342032 2927540 3345760 4684064 5855080 11710160 23420320