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10124712 = 23321329373
BaseRepresentation
bin100110100111…
…110110101000
3201001101111100
4212213312220
510042442322
61001001400
7152026053
oct46476650
921041440
1010124712
115795934
123483260
132136570
1414b7a9a
15d4edac
hex9a7da8

10124712 has 96 divisors (see below), whose sum is σ = 30630600. Its totient is φ = 2999808.

The previous prime is 10124689. The next prime is 10124731. The reversal of 10124712 is 21742101.

It can be written as a sum of positive squares in 4 ways, for example, as 7322436 + 2802276 = 2706^2 + 1674^2 .

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 26958 + ... + 27330.

Almost surely, 210124712 is an apocalyptic number.

10124712 is a gapful number since it is divisible by the number (12) 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 10124712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15315300).

10124712 is an abundant number, since it is smaller than the sum of its proper divisors (20505888).

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

10124712 is a wasteful number, since it uses less digits than its factorization.

10124712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 10124712 is about 3181.9352601837. The cubic root of 10124712 is about 216.3353843273.

Adding to 10124712 its reverse (21742101), we get a palindrome (31866813).

The spelling of 10124712 in words is "ten million, one hundred twenty-four thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 29 36 39 52 58 72 78 87 104 116 117 156 174 232 234 261 312 348 373 377 468 522 696 746 754 936 1044 1119 1131 1492 1508 2088 2238 2262 2984 3016 3357 3393 4476 4524 4849 6714 6786 8952 9048 9698 10817 13428 13572 14547 19396 21634 26856 27144 29094 32451 38792 43268 43641 58188 64902 86536 87282 97353 116376 129804 140621 174564 194706 259608 281242 349128 389412 421863 562484 778824 843726 1124968 1265589 1687452 2531178 3374904 5062356 10124712