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23453280 = 253356189
BaseRepresentation
bin101100101110…
…1111001100000
31122010112212000
41121131321200
522001001110
62154404000
7403230624
oct131357140
948115760
1023453280
1112269884
127a30600
134b221a6
143187184
1520d41c0
hex165de60

23453280 has 192 divisors, whose sum is σ = 84369600. Its totient is φ = 6082560.

The previous prime is 23453273. The next prime is 23453281. The reversal of 23453280 is 8235432.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23453281) 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, 263476 + ... + 263564.

It is an arithmetic number, because the mean of its divisors is an integer number (439425).

Almost surely, 223453280 is an apocalyptic number.

23453280 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 23453280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

23453280 is an abundant number, since it is smaller than the sum of its proper divisors (60916320).

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

23453280 is a wasteful number, since it uses less digits than its factorization.

23453280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 23453280 is about 4842.8586599239. The cubic root of 23453280 is about 286.2427723301.

It can be divided in two parts, 2345 and 3280, that added together give a square (5625 = 752).

The spelling of 23453280 in words is "twenty-three million, four hundred fifty-three thousand, two hundred eighty".