Search a number
-
+
10503870 = 23513231171
BaseRepresentation
bin101000000100…
…011010111110
3201202122121020
4220010122332
510142110440
61013045010
7155165346
oct50043276
921678536
1010503870
115a24793
123626766
13223a010
141575d26
15dc73d0
hexa046be

10503870 has 64 divisors (see below), whose sum is σ = 28353024. Its totient is φ = 2471040.

The previous prime is 10503863. The next prime is 10503877. The reversal of 10503870 is 7830501.

It is an interprime number because it is at equal distance from previous prime (10503863) and next prime (10503877).

It is a super-2 number, since 2×105038702 = 220662569953800, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10503870.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10503877) 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 31 ways as a sum of consecutive naturals, for example, 8385 + ... + 9555.

It is an arithmetic number, because the mean of its divisors is an integer number (443016).

Almost surely, 210503870 is an apocalyptic number.

10503870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176512).

10503870 is an abundant number, since it is smaller than the sum of its proper divisors (17849154).

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

10503870 is a wasteful number, since it uses less digits than its factorization.

10503870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10503870 is about 3240.9674481549. The cubic root of 10503870 is about 219.0028564503.

The spelling of 10503870 in words is "ten million, five hundred three thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 23 26 30 39 46 65 69 78 115 130 138 195 230 299 345 390 598 690 897 1171 1495 1794 2342 2990 3513 4485 5855 7026 8970 11710 15223 17565 26933 30446 35130 45669 53866 76115 80799 91338 134665 152230 161598 228345 269330 350129 403995 456690 700258 807990 1050387 1750645 2100774 3501290 5251935 10503870