Search a number
-
+
20754760 = 23513167239
BaseRepresentation
bin100111100101…
…1000101001000
31110001110011211
41033023011020
520303123020
62020502504
7341261335
oct117130510
943043154
1020754760
11107963a4
126b4aa34
1343b8b30
142a8398c
151c4e85a
hex13cb148

20754760 has 64 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 7585536.

The previous prime is 20754757. The next prime is 20754761. The reversal of 20754760 is 6745702.

It is not an unprimeable number, because it can be changed into a prime (20754761) 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 15 ways as a sum of consecutive naturals, for example, 86721 + ... + 86959.

It is an arithmetic number, because the mean of its divisors is an integer number (793800).

Almost surely, 220754760 is an apocalyptic number.

20754760 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 20754760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25401600).

20754760 is an abundant number, since it is smaller than the sum of its proper divisors (30048440).

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

20754760 is a wasteful number, since it uses less digits than its factorization.

20754760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 20754760 is about 4555.7392374893. The cubic root of 20754760 is about 274.8142437001.

The spelling of 20754760 in words is "twenty million, seven hundred fifty-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 167 239 260 334 478 520 668 835 956 1195 1336 1670 1912 2171 2390 3107 3340 4342 4780 6214 6680 8684 9560 10855 12428 15535 17368 21710 24856 31070 39913 43420 62140 79826 86840 124280 159652 199565 319304 399130 518869 798260 1037738 1596520 2075476 2594345 4150952 5188690 10377380 20754760