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23435040 = 253548823
BaseRepresentation
bin101100101100…
…1011100100000
31122002121211110
41121121130200
521444410130
62154143320
7403123506
oct131313440
948077743
1023435040
1112257102
127a21b40
134b16ab5
143180676
1520cdab0
hex1659720

23435040 has 48 divisors (see below), whose sum is σ = 73821888. Its totient is φ = 6249216.

The previous prime is 23435021. The next prime is 23435047. The reversal of 23435040 is 4053432.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 23434998 and 23435016.

It is not an unprimeable number, because it can be changed into a prime (23435047) 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, 23932 + ... + 24891.

It is an arithmetic number, because the mean of its divisors is an integer number (1537956).

Almost surely, 223435040 is an apocalyptic number.

23435040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23435040 is an abundant number, since it is smaller than the sum of its proper divisors (50386848).

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

23435040 is a wasteful number, since it uses less digits than its factorization.

23435040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48841 (or 48833 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 23435040 is about 4840.9751083847. The cubic root of 23435040 is about 286.1685478541.

Adding to 23435040 its reverse (4053432), we get a palindrome (27488472).

The spelling of 23435040 in words is "twenty-three million, four hundred thirty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 48823 97646 146469 195292 244115 292938 390584 488230 585876 732345 781168 976460 1171752 1464690 1562336 1952920 2343504 2929380 3905840 4687008 5858760 7811680 11717520 23435040