Search a number
-
+
23051760 = 2435139691
BaseRepresentation
bin101011111101…
…1110111110000
31121101011001220
41113323313300
521400124020
62142025040
7366636204
oct127736760
947334056
1023051760
1112015146
127878180
134a114c4
1430c0b04
152055240
hex15fbdf0

23051760 has 80 divisors (see below), whose sum is σ = 72078720. Its totient is φ = 6094080.

The previous prime is 23051753. The next prime is 23051771. The reversal of 23051760 is 6715032.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23051760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33015 + ... + 33705.

It is an arithmetic number, because the mean of its divisors is an integer number (900984).

Almost surely, 223051760 is an apocalyptic number.

23051760 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 23051760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36039360).

23051760 is an abundant number, since it is smaller than the sum of its proper divisors (49026960).

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

23051760 is a wasteful number, since it uses less digits than its factorization.

23051760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 23051760 is about 4801.2248437248. The cubic root of 23051760 is about 284.5998693945.

Adding to 23051760 its reverse (6715032), we get a palindrome (29766792).

The spelling of 23051760 in words is "twenty-three million, fifty-one thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 691 695 834 1112 1382 1390 1668 2073 2085 2224 2764 2780 3336 3455 4146 4170 5528 5560 6672 6910 8292 8340 10365 11056 11120 13820 16584 16680 20730 27640 33168 33360 41460 55280 82920 96049 165840 192098 288147 384196 480245 576294 768392 960490 1152588 1440735 1536784 1920980 2305176 2881470 3841960 4610352 5762940 7683920 11525880 23051760