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23506146 = 233677389
BaseRepresentation
bin101100110101…
…0110011100010
31122020020101000
41121222303202
522004144041
62155452430
7403541016
oct131526342
948206330
1023506146
11122a5574
127a57116
134b40281
14319c546
1520e4bb6
hex166ace2

23506146 has 64 divisors (see below), whose sum is σ = 54345600. Its totient is φ = 7527168.

The previous prime is 23506141. The next prime is 23506159. The reversal of 23506146 is 64160532.

23506146 = 5592 + 5602 + ... + 6252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (23506141) 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 31 ways as a sum of consecutive naturals, for example, 264070 + ... + 264158.

It is an arithmetic number, because the mean of its divisors is an integer number (849150).

Almost surely, 223506146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23506146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172800).

23506146 is an abundant number, since it is smaller than the sum of its proper divisors (30839454).

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

23506146 is a wasteful number, since it uses less digits than its factorization.

23506146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 23506146 is about 4848.3137274727. The cubic root of 23506146 is about 286.4576840548.

Adding to 23506146 its reverse (64160532), we get a palindrome (87666678).

The spelling of 23506146 in words is "twenty-three million, five hundred six thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 67 73 89 134 146 178 201 219 267 402 438 534 603 657 801 1206 1314 1602 1809 1971 2403 3618 3942 4806 4891 5963 6497 9782 11926 12994 14673 17889 19491 29346 35778 38982 44019 53667 58473 88038 107334 116946 132057 161001 175419 264114 322002 350838 435299 870598 1305897 2611794 3917691 7835382 11753073 23506146