Search a number
-
+
23084940 = 2235715419
BaseRepresentation
bin101100000001…
…1111110001100
31121102211120210
41120003332030
521402204230
62142442420
7400135014
oct130037614
947384523
1023084940
111203806a
127893410
134a23638
1430ccc44
15205eeb0
hex1603f8c

23084940 has 48 divisors (see below), whose sum is σ = 65560320. Its totient is φ = 6068160.

The previous prime is 23084879. The next prime is 23084953. The reversal of 23084940 is 4948032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23084898 and 23084907.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1551 + ... + 6969.

It is an arithmetic number, because the mean of its divisors is an integer number (1365840).

Almost surely, 223084940 is an apocalyptic number.

23084940 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 23084940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32780160).

23084940 is an abundant number, since it is smaller than the sum of its proper divisors (42475380).

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

23084940 is a wasteful number, since it uses less digits than its factorization.

23084940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5502 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 23084940 is about 4804.6789695046. The cubic root of 23084940 is about 284.7363520553.

The spelling of 23084940 in words is "twenty-three million, eighty-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 5419 10838 16257 21676 27095 32514 54190 65028 81285 108380 162570 325140 384749 769498 1154247 1538996 1923745 2308494 3847490 4616988 5771235 7694980 11542470 23084940