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23903120 = 245734093
BaseRepresentation
bin101101100101…
…1101110010000
31122222101220202
41123023232100
522104344440
62212154332
7410113253
oct133135620
948871822
1023903120
111254684a
1280089a8
134c4bb77
14326309a
152172615
hex16cbb90

23903120 has 40 divisors (see below), whose sum is σ = 56349816. Its totient is φ = 9427968.

The previous prime is 23903101. The next prime is 23903129. The reversal of 23903120 is 2130932.

It can be written as a sum of positive squares in 4 ways, for example, as 2262016 + 21641104 = 1504^2 + 4652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23903092 and 23903101.

It is not an unprimeable number, because it can be changed into a prime (23903129) 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 7 ways as a sum of consecutive naturals, for example, 3794 + ... + 7886.

Almost surely, 223903120 is an apocalyptic number.

23903120 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 23903120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28174908).

23903120 is an abundant number, since it is smaller than the sum of its proper divisors (32446696).

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

23903120 is a wasteful number, since it uses less digits than its factorization.

23903120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4179 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 23903120 is about 4889.0817133691. The cubic root of 23903120 is about 288.0612652585.

The spelling of 23903120 in words is "twenty-three million, nine hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 4093 5840 8186 16372 20465 32744 40930 65488 81860 163720 298789 327440 597578 1195156 1493945 2390312 2987890 4780624 5975780 11951560 23903120