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23398128 = 24321329431
BaseRepresentation
bin101100101000…
…0011011110000
31122000202012100
41121100123300
521442220003
62153300400
7402611055
oct131203360
948022170
1023398128
11122313a6
127a04700
134b03060
14317102c
1520c2ba3
hex16506f0

23398128 has 120 divisors (see below), whose sum is σ = 73120320. Its totient is φ = 6935040.

The previous prime is 23398117. The next prime is 23398129. The reversal of 23398128 is 82189332.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23398092 and 23398101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23398129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54073 + ... + 54503.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 223398128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23398128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).

23398128 is an abundant number, since it is smaller than the sum of its proper divisors (49722192).

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

23398128 is a wasteful number, since it uses less digits than its factorization.

23398128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 478 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 23398128 is about 4837.1611509231. The cubic root of 23398128 is about 286.0182230389.

The spelling of 23398128 in words is "twenty-three million, three hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 29 36 39 48 52 58 72 78 87 104 116 117 144 156 174 208 232 234 261 312 348 377 431 464 468 522 624 696 754 862 936 1044 1131 1293 1392 1508 1724 1872 2088 2262 2586 3016 3393 3448 3879 4176 4524 5172 5603 6032 6786 6896 7758 9048 10344 11206 12499 13572 15516 16809 18096 20688 22412 24998 27144 31032 33618 37497 44824 49996 50427 54288 62064 67236 74994 89648 99992 100854 112491 134472 149988 162487 199984 201708 224982 268944 299976 324974 403416 449964 487461 599952 649948 806832 899928 974922 1299896 1462383 1799856 1949844 2599792 2924766 3899688 5849532 7799376 11699064 23398128