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10123488 = 253311717
BaseRepresentation
bin100110100111…
…100011100000
3201001022211000
4212213203200
510042422423
61000552000
7152022354
oct46474340
921038730
1010123488
115794a21
123482600
132135b3b
1414b7464
15d4e843
hex9a78e0

10123488 has 48 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 3374208.

The previous prime is 10123481. The next prime is 10123513. The reversal of 10123488 is 88432101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101234882 = 204970018572288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123481) 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 7 ways as a sum of consecutive naturals, for example, 4995 + ... + 6722.

It is an arithmetic number, because the mean of its divisors is an integer number (615195).

Almost surely, 210123488 is an apocalyptic number.

10123488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10123488 is an abundant number, since it is smaller than the sum of its proper divisors (19405872).

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

10123488 is a wasteful number, since it uses less digits than its factorization.

10123488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11736 (or 11722 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10123488 is about 3181.7429185904. The cubic root of 10123488 is about 216.3266662132.

Adding to 10123488 its reverse (88432101), we get a palindrome (98555589).

The spelling of 10123488 in words is "ten million, one hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11717 23434 35151 46868 70302 93736 105453 140604 187472 210906 281208 316359 374944 421812 562416 632718 843624 1124832 1265436 1687248 2530872 3374496 5061744 10123488