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23272420 = 22541101281
BaseRepresentation
bin101100011000…
…1101111100100
31121210100202111
41120301233210
521424204140
62150450404
7401545423
oct130615744
947710674
1023272420
1112155a06
127963a04
134a8aa82
14313b2ba
15209a7ea
hex1631be4

23272420 has 48 divisors (see below), whose sum is σ = 50739696. Its totient is φ = 8960000.

The previous prime is 23272409. The next prime is 23272421. The reversal of 23272420 is 2427232.

It can be written as a sum of positive squares in 8 ways, for example, as 20736 + 23251684 = 144^2 + 4822^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23272391 and 23272400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23272421) 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, 82680 + ... + 82960.

It is an arithmetic number, because the mean of its divisors is an integer number (1057077).

Almost surely, 223272420 is an apocalyptic number.

23272420 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 23272420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25369848).

23272420 is an abundant number, since it is smaller than the sum of its proper divisors (27467276).

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

23272420 is a wasteful number, since it uses less digits than its factorization.

23272420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 22.

The square root of 23272420 is about 4824.1496660033. The cubic root of 23272420 is about 285.5050856706.

Adding to 23272420 its reverse (2427232), we get a palindrome (25699652).

The spelling of 23272420 in words is "twenty-three million, two hundred seventy-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 101 164 202 205 281 404 410 505 562 820 1010 1124 1405 2020 2810 4141 5620 8282 11521 16564 20705 23042 28381 41410 46084 56762 57605 82820 113524 115210 141905 230420 283810 567620 1163621 2327242 4654484 5818105 11636210 23272420