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23808420 = 22325294561
BaseRepresentation
bin101101011010…
…0100110100100
31122210121000100
41122310212210
522043332140
62210144100
7406240206
oct132644644
948717010
1023808420
1112491689
127b82030
134c17a2c
14323a776
152154530
hex16b49a4

23808420 has 72 divisors (see below), whose sum is σ = 74725560. Its totient is φ = 6128640.

The previous prime is 23808419. The next prime is 23808437. The reversal of 23808420 is 2480832.

23808420 is a `hidden beast` number, since 238 + 0 + 8 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1454436 + 22353984 = 1206^2 + 4728^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2940 + ... + 7500.

It is an arithmetic number, because the mean of its divisors is an integer number (1037855).

Almost surely, 223808420 is an apocalyptic number.

23808420 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 23808420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37362780).

23808420 is an abundant number, since it is smaller than the sum of its proper divisors (50917140).

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

23808420 is a wasteful number, since it uses less digits than its factorization.

23808420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4605 (or 4600 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 23808420 is about 4879.3872566133. The cubic root of 23808420 is about 287.6803455747.

The spelling of 23808420 in words is "twenty-three million, eight hundred eight thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 4561 5220 9122 13683 18244 22805 27366 41049 45610 54732 68415 82098 91220 132269 136830 164196 205245 264538 273660 396807 410490 529076 661345 793614 820980 1190421 1322690 1587228 1984035 2380842 2645380 3968070 4761684 5952105 7936140 11904210 23808420