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23040540 = 22325196737
BaseRepresentation
bin101011111100…
…1001000011100
31121100120200100
41113321020130
521344244130
62141501100
7366561405
oct127711034
947316610
1023040540
1112007776
127871790
134a09373
1430ba9ac
152051c60
hex15f921c

23040540 has 72 divisors (see below), whose sum is σ = 73578960. Its totient is φ = 5819904.

The previous prime is 23040497. The next prime is 23040541. The reversal of 23040540 is 4504032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23040541) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 52 + ... + 6788.

It is an arithmetic number, because the mean of its divisors is an integer number (1021930).

Almost surely, 223040540 is an apocalyptic number.

23040540 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 23040540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36789480).

23040540 is an abundant number, since it is smaller than the sum of its proper divisors (50538420).

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

23040540 is a wasteful number, since it uses less digits than its factorization.

23040540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6771 (or 6766 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 23040540 is about 4800.0562496704. The cubic root of 23040540 is about 284.5536874002.

Adding to 23040540 its reverse (4504032), we get a palindrome (27544572).

The spelling of 23040540 in words is "twenty-three million, forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6737 13474 20211 26948 33685 40422 60633 67370 80844 101055 121266 128003 134740 202110 242532 256006 303165 384009 404220 512012 606330 640015 768018 1152027 1212660 1280030 1536036 1920045 2304054 2560060 3840090 4608108 5760135 7680180 11520270 23040540