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23041440 = 2532516001
BaseRepresentation
bin101011111100…
…1010110100000
31121100121220200
41113321112200
521344311230
62141505200
7366564132
oct127712640
947317820
1023041440
1112008414
127872200
134a098b6
1430bb052
152052160
hex15f95a0

23041440 has 72 divisors (see below), whose sum is σ = 78633828. Its totient is φ = 6144000.

The previous prime is 23041439. The next prime is 23041441. The reversal of 23041440 is 4414032.

It is an interprime number because it is at equal distance from previous prime (23041439) and next prime (23041441).

It can be written as a sum of positive squares in 2 ways, for example, as 22695696 + 345744 = 4764^2 + 588^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (23041441) 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 11 ways as a sum of consecutive naturals, for example, 6561 + ... + 9440.

Almost surely, 223041440 is an apocalyptic number.

23041440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23041440 is an abundant number, since it is smaller than the sum of its proper divisors (55592388).

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

23041440 is a wasteful number, since it uses less digits than its factorization.

23041440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16022 (or 16011 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 23041440 is about 4800.1499976563. The cubic root of 23041440 is about 284.5573923912.

Adding to 23041440 its reverse (4414032), we get a palindrome (27455472).

The spelling of 23041440 in words is "twenty-three million, forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 16001 32002 48003 64004 80005 96006 128008 144009 160010 192012 240015 256016 288018 320020 384024 480030 512032 576036 640040 720045 768048 960060 1152072 1280080 1440090 1536096 1920120 2304144 2560160 2880180 3840240 4608288 5760360 7680480 11520720 23041440