Search a number
-
+
23027940 = 22325132757
BaseRepresentation
bin101011111011…
…0000011100100
31121022221101200
41113312003210
521343343230
62141322500
7366506565
oct127660344
947287350
1023027940
1111aa9261
127866430
134a03700
1430b616c
15204d160
hex15f60e4

23027940 has 108 divisors (see below), whose sum is σ = 75737844. Its totient is φ = 5660928.

The previous prime is 23027933. The next prime is 23027951. The reversal of 23027940 is 4972032.

It can be written as a sum of positive squares in 6 ways, for example, as 3526884 + 19501056 = 1878^2 + 4416^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 30042 + ... + 30798.

Almost surely, 223027940 is an apocalyptic number.

23027940 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 23027940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37868922).

23027940 is an abundant number, since it is smaller than the sum of its proper divisors (52709904).

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

23027940 is a wasteful number, since it uses less digits than its factorization.

23027940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23027940 is about 4798.7435855649. The cubic root of 23027940 is about 284.5018073917.

Adding to 23027940 its reverse (4972032), we get a palindrome (27999972).

The spelling of 23027940 in words is "twenty-three million, twenty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 169 180 195 234 260 338 390 468 507 585 676 757 780 845 1014 1170 1514 1521 1690 2028 2271 2340 2535 3028 3042 3380 3785 4542 5070 6084 6813 7570 7605 9084 9841 10140 11355 13626 15140 15210 19682 22710 27252 29523 30420 34065 39364 45420 49205 59046 68130 88569 98410 118092 127933 136260 147615 177138 196820 255866 295230 354276 383799 442845 511732 590460 639665 767598 885690 1151397 1279330 1535196 1771380 1918995 2302794 2558660 3837990 4605588 5756985 7675980 11513970 23027940