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23545136 = 2417107809
BaseRepresentation
bin101100111010…
…0010100110000
31122022012212002
41121310110300
522011421021
62200353132
7404062466
oct131642460
948265762
1023545136
111232189a
127a757a8
134b54c44
1431ac836
15210150b
hex1674530

23545136 has 40 divisors (see below), whose sum is σ = 48813840. Its totient is φ = 10962944.

The previous prime is 23545103. The next prime is 23545139. The reversal of 23545136 is 63154532.

It is a junction number, because it is equal to n+sod(n) for n = 23545099 and 23545108.

It is not an unprimeable number, because it can be changed into a prime (23545139) 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 7 ways as a sum of consecutive naturals, for example, 28700 + ... + 29508.

It is an arithmetic number, because the mean of its divisors is an integer number (1220346).

Almost surely, 223545136 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 23545136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24406920).

23545136 is an abundant number, since it is smaller than the sum of its proper divisors (25268704).

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

23545136 is a wasteful number, since it uses less digits than its factorization.

23545136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 935 counting only the distinct ones).

The product of its digits is 10800, while the sum is 29.

The square root of 23545136 is about 4852.3330471022. Note that the first 3 decimals coincide. The cubic root of 23545136 is about 286.6159804623.

Adding to 23545136 its reverse (63154532), we get a palindrome (86699668).

The spelling of 23545136 in words is "twenty-three million, five hundred forty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 34 68 107 136 214 272 428 809 856 1618 1712 1819 3236 3638 6472 7276 12944 13753 14552 27506 29104 55012 86563 110024 173126 220048 346252 692504 1385008 1471571 2943142 5886284 11772568 23545136