Search a number
-
+
11623920 = 24357111737
BaseRepresentation
bin101100010101…
…110111110000
3210212120000120
4230111313300
510433431140
61053050240
7200541660
oct54256760
923776016
1011623920
11661a250
123a86980
13253ca79
1417881a0
1510491d0
hexb15df0

11623920 has 320 divisors, whose sum is σ = 48854016. Its totient is φ = 2211840.

The previous prime is 11623919. The next prime is 11623921. The reversal of 11623920 is 2932611.

11623920 = T365 + T366 + ... + T490.

It is an interprime number because it is at equal distance from previous prime (11623919) and next prime (11623921).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11623921) 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 63 ways as a sum of consecutive naturals, for example, 314142 + ... + 314178.

Almost surely, 211623920 is an apocalyptic number.

11623920 is a gapful number since it is divisible by the number (10) 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 11623920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008).

11623920 is an abundant number, since it is smaller than the sum of its proper divisors (37230096).

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

11623920 is a wasteful number, since it uses less digits than its factorization.

11623920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 11623920 is about 3409.3870416836. The cubic root of 11623920 is about 226.5257293793.

The spelling of 11623920 in words is "eleven million, six hundred twenty-three thousand, nine hundred twenty".