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23005420 = 2251771953
BaseRepresentation
bin101011111000…
…0100011101100
31121021210111121
41113300203230
521342133140
62141030324
7366354124
oct127604354
947253447
1023005420
1111a93349
1278553a4
1349c6399
1430abc84
15204664a
hex15f08ec

23005420 has 48 divisors (see below), whose sum is σ = 51928128. Its totient is φ = 8529920.

The previous prime is 23005417. The next prime is 23005421. The reversal of 23005420 is 2450032.

It is a junction number, because it is equal to n+sod(n) for n = 23005394 and 23005403.

It is not an unprimeable number, because it can be changed into a prime (23005421) 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, 23664 + ... + 24616.

It is an arithmetic number, because the mean of its divisors is an integer number (1081836).

Almost surely, 223005420 is an apocalyptic number.

23005420 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 23005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25964064).

23005420 is an abundant number, since it is smaller than the sum of its proper divisors (28922708).

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

23005420 is a wasteful number, since it uses less digits than its factorization.

23005420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23005420 is about 4796.3965640885. The cubic root of 23005420 is about 284.4090350119.

Adding to 23005420 its reverse (2450032), we get a palindrome (25455452).

The spelling of 23005420 in words is "twenty-three million, five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 71 85 142 170 284 340 355 710 953 1207 1420 1906 2414 3812 4765 4828 6035 9530 12070 16201 19060 24140 32402 64804 67663 81005 135326 162010 270652 324020 338315 676630 1150271 1353260 2300542 4601084 5751355 11502710 23005420