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10131056 = 241353919
BaseRepresentation
bin100110101001…
…011001110000
3201001201012022
4212221121300
510043143211
61001051012
7152053415
oct46513160
921051168
1010131056
11579a681
123486a68
132139410
1414ba10c
15d51bdb
hex9a9670

10131056 has 40 divisors (see below), whose sum is σ = 21561120. Its totient is φ = 4582656.

The previous prime is 10131041. The next prime is 10131071. The reversal of 10131056 is 65013101.

It is an interprime number because it is at equal distance from previous prime (10131041) and next prime (10131071).

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 7 ways as a sum of consecutive naturals, for example, 10565 + ... + 11483.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 210131056 is an apocalyptic number.

10131056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10131056 is the 1838-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10780560).

10131056 is an abundant number, since it is smaller than the sum of its proper divisors (11430064).

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

10131056 is a wasteful number, since it uses less digits than its factorization.

10131056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 10131056 is about 3182.9319816798. The cubic root of 10131056 is about 216.3805591144.

Adding to 10131056 its reverse (65013101), we get a palindrome (75144157).

The spelling of 10131056 in words is "ten million, one hundred thirty-one thousand, fifty-six".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 689 848 919 1378 1838 2756 3676 5512 7352 11024 11947 14704 23894 47788 48707 95576 97414 191152 194828 389656 633191 779312 1266382 2532764 5065528 10131056