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10122024 = 23311231667
BaseRepresentation
bin100110100111…
…001100101000
3201001020210210
4212213030220
510042401044
61000541120
7152015163
oct46471450
921036723
1010122024
115793910
1234817a0
132135283
1414b6ada
15d4e1b9
hex9a7328

10122024 has 64 divisors (see below), whose sum is σ = 28823040. Its totient is φ = 2932160.

The previous prime is 10122011. The next prime is 10122043. The reversal of 10122024 is 42022101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5239 + ... + 6905.

It is an arithmetic number, because the mean of its divisors is an integer number (450360).

Almost surely, 210122024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411520).

10122024 is an abundant number, since it is smaller than the sum of its proper divisors (18701016).

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

10122024 is a wasteful number, since it uses less digits than its factorization.

10122024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 10122024 is about 3181.5128476874. The cubic root of 10122024 is about 216.3162377421.

Adding to 10122024 its reverse (42022101), we get a palindrome (52144125).

The spelling of 10122024 in words is "ten million, one hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 759 1012 1518 1667 2024 3036 3334 5001 6072 6668 10002 13336 18337 20004 36674 38341 40008 55011 73348 76682 110022 115023 146696 153364 220044 230046 306728 421751 440088 460092 843502 920184 1265253 1687004 2530506 3374008 5061012 10122024