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10023840 = 253256961
BaseRepresentation
bin100110001111…
…001110100000
3200212021010100
4212033032200
510031230330
6554502400
7151126011
oct46171640
920767110
1010023840
115727072
123434a00
1320cc688
14148d008
15d30060
hex98f3a0

10023840 has 72 divisors (see below), whose sum is σ = 34211268. Its totient is φ = 2672640.

The previous prime is 10023817. The next prime is 10023847. The reversal of 10023840 is 4832001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 63504 = 3156^2 + 252^2 .

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

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 (10023847) 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 11 ways as a sum of consecutive naturals, for example, 2041 + ... + 4920.

Almost surely, 210023840 is an apocalyptic number.

10023840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023840 is an abundant number, since it is smaller than the sum of its proper divisors (24187428).

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

10023840 is a wasteful number, since it uses less digits than its factorization.

10023840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6982 (or 6971 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10023840 is about 3166.0448512300. The cubic root of 10023840 is about 215.6145388750.

Adding to 10023840 its reverse (4832001), we get a palindrome (14855841).

The spelling of 10023840 in words is "ten million, twenty-three thousand, eight 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 6961 13922 20883 27844 34805 41766 55688 62649 69610 83532 104415 111376 125298 139220 167064 208830 222752 250596 278440 313245 334128 417660 501192 556880 626490 668256 835320 1002384 1113760 1252980 1670640 2004768 2505960 3341280 5011920 10023840