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23389128 = 2333731499
BaseRepresentation
bin101100100111…
…0001111001000
31122000021212000
41121032033020
521441423003
62153151000
7402542610
oct131161710
948007760
1023389128
1112225664
1279bb460
134acbc29
14316ba40
1520c01a3
hex164e3c8

23389128 has 128 divisors (see below), whose sum is σ = 76800000. Its totient is φ = 6454080.

The previous prime is 23389123. The next prime is 23389141. The reversal of 23389128 is 82198332.

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 = 23389092 and 23389101.

It is not an unprimeable number, because it can be changed into a prime (23389123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46623 + ... + 47121.

It is an arithmetic number, because the mean of its divisors is an integer number (600000).

Almost surely, 223389128 is an apocalyptic number.

23389128 is a gapful number since it is divisible by the number (28) 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 23389128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38400000).

23389128 is an abundant number, since it is smaller than the sum of its proper divisors (53410872).

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

23389128 is a wasteful number, since it uses less digits than its factorization.

23389128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 542 counting only the distinct ones).

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

The square root of 23389128 is about 4836.2307637250. The cubic root of 23389128 is about 285.9815463993.

The spelling of 23389128 in words is "twenty-three million, three hundred eighty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 84 93 108 124 126 168 186 189 216 217 248 252 279 372 378 434 499 504 558 651 744 756 837 868 998 1116 1302 1497 1512 1674 1736 1953 1996 2232 2604 2994 3348 3493 3906 3992 4491 5208 5859 5988 6696 6986 7812 8982 10479 11718 11976 13473 13972 15469 15624 17964 20958 23436 26946 27944 30938 31437 35928 41916 46407 46872 53892 61876 62874 83832 92814 94311 107784 108283 123752 125748 139221 185628 188622 216566 251496 278442 324849 371256 377244 417663 433132 556884 649698 754488 835326 866264 974547 1113768 1299396 1670652 1949094 2598792 2923641 3341304 3898188 5847282 7796376 11694564 23389128