Search a number
-
+
23056160 = 255294969
BaseRepresentation
bin101011111110…
…0111100100000
31121101101002212
41113330330200
521400244120
62142101252
7366655061
oct127747440
947341085
1023056160
1112018486
12787a828
134a134ca
1430c2568
1520566c5
hex15fcf20

23056160 has 48 divisors (see below), whose sum is σ = 56359800. Its totient is φ = 8902656.

The previous prime is 23056153. The next prime is 23056169. The reversal of 23056160 is 6165032.

It can be written as a sum of positive squares in 4 ways, for example, as 15460624 + 7595536 = 3932^2 + 2756^2 .

It is not an unprimeable number, because it can be changed into a prime (23056169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2156 + ... + 7124.

Almost surely, 223056160 is an apocalyptic number.

23056160 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 23056160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28179900).

23056160 is an abundant number, since it is smaller than the sum of its proper divisors (33303640).

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

23056160 is a wasteful number, since it uses less digits than its factorization.

23056160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5013 (or 5005 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 23056160 is about 4801.6830382690. The cubic root of 23056160 is about 284.6179758900.

The spelling of 23056160 in words is "twenty-three million, fifty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 4969 9938 19876 24845 39752 49690 79504 99380 144101 159008 198760 288202 397520 576404 720505 795040 1152808 1441010 2305616 2882020 4611232 5764040 11528080 23056160