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23648980 = 2251182449
BaseRepresentation
bin101101000110…
…1101011010100
31122111111022011
41122031223110
522023231410
62202514004
7405004315
oct132155324
948444264
1023648980
1112392913
127b05904
134b902a4
1431d860c
15212218a
hex168dad4

23648980 has 12 divisors (see below), whose sum is σ = 49662900. Its totient is φ = 9459584.

The previous prime is 23648959. The next prime is 23648981. The reversal of 23648980 is 8984632.

It can be written as a sum of positive squares in 2 ways, for example, as 4674244 + 18974736 = 2162^2 + 4356^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23648981) 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 3 ways as a sum of consecutive naturals, for example, 591205 + ... + 591244.

It is an arithmetic number, because the mean of its divisors is an integer number (4138575).

Almost surely, 223648980 is an apocalyptic number.

23648980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23648980 is an abundant number, since it is smaller than the sum of its proper divisors (26013920).

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

23648980 is a wasteful number, since it uses less digits than its factorization.

23648980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1182458 (or 1182456 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 23648980 is about 4863.0216943789. The cubic root of 23648980 is about 287.0367283747.

The spelling of 23648980 in words is "twenty-three million, six hundred forty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 1182449 2364898 4729796 5912245 11824490 23648980