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23120420 = 2253189419
BaseRepresentation
bin101100000110…
…0101000100100
31121111122020212
41120030220210
521404323140
62143314552
7400343321
oct130145044
947448225
1023120420
1112061794
1278aba58
134a3682b
1430dbb48
15206a765
hex160ca24

23120420 has 48 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 8828160.

The previous prime is 23120401. The next prime is 23120423. The reversal of 23120420 is 2402132.

It is a junction number, because it is equal to n+sod(n) for n = 23120395 and 23120404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23120423) 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, 54971 + ... + 55389.

It is an arithmetic number, because the mean of its divisors is an integer number (1058400).

Almost surely, 223120420 is an apocalyptic number.

23120420 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 23120420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

23120420 is an abundant number, since it is smaller than the sum of its proper divisors (27682780).

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

23120420 is a wasteful number, since it uses less digits than its factorization.

23120420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 23120420 is about 4808.3697861125. The cubic root of 23120420 is about 284.8821509266.

Adding to 23120420 its reverse (2402132), we get a palindrome (25522552).

The spelling of 23120420 in words is "twenty-three million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 89 124 155 178 310 356 419 445 620 838 890 1676 1780 2095 2759 4190 5518 8380 11036 12989 13795 25978 27590 37291 51956 55180 64945 74582 129890 149164 186455 259780 372910 745820 1156021 2312042 4624084 5780105 11560210 23120420