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10232124 = 2237412971
BaseRepresentation
bin100111000010…
…000100111100
3201020211211120
4213002010330
510104411444
61003150540
7152654160
oct47020474
921224746
1010232124
115859601
123515450
132173416
141504ca0
15d71b19
hex9c213c

10232124 has 48 divisors (see below), whose sum is σ = 27960576. Its totient is φ = 2851200.

The previous prime is 10232093. The next prime is 10232129. The reversal of 10232124 is 42123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1959 + ... + 4929.

It is an arithmetic number, because the mean of its divisors is an integer number (582512).

Almost surely, 210232124 is an apocalyptic number.

10232124 is a gapful number since it is divisible by the number (14) 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 10232124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13980288).

10232124 is an abundant number, since it is smaller than the sum of its proper divisors (17728452).

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

10232124 is a wasteful number, since it uses less digits than its factorization.

10232124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3024 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 10232124 is about 3198.7691382780. The cubic root of 10232124 is about 217.0977212115.

Adding to 10232124 its reverse (42123201), we get a palindrome (52355325).

The spelling of 10232124 in words is "ten million, two hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 2971 3444 5942 8913 11884 17826 20797 35652 41594 62391 83188 121811 124782 243622 249564 365433 487244 730866 852677 1461732 1705354 2558031 3410708 5116062 10232124