Search a number
-
+
10687281 = 311312337
BaseRepresentation
bin101000110001…
…001100110001
3202002222012020
4220301030301
510213443111
61021022053
7156561153
oct50611461
922088166
1010687281
11603a570
1236b4929
1322a2647
1415c2ad3
15e11906
hexa31331

10687281 has 24 divisors (see below), whose sum is σ = 16110432. Its totient is φ = 6249600.

The previous prime is 10687279. The next prime is 10687289. The reversal of 10687281 is 18278601.

It is a happy number.

It is not a de Polignac number, because 10687281 - 21 = 10687279 is a prime.

It is a super-2 number, since 2×106872812 = 228435950345922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (10687289) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31545 + ... + 31881.

It is an arithmetic number, because the mean of its divisors is an integer number (671268).

Almost surely, 210687281 is an apocalyptic number.

10687281 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10687281 is a deficient number, since it is larger than the sum of its proper divisors (5423151).

10687281 is a wasteful number, since it uses less digits than its factorization.

10687281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 33.

The square root of 10687281 is about 3269.1407127868. The cubic root of 10687281 is about 220.2701983166.

It can be divided in two parts, 106872 and 81, that added together give a triangular number (106953 = T462).

The spelling of 10687281 in words is "ten million, six hundred eighty-seven thousand, two hundred eighty-one".

Divisors: 1 3 11 31 33 93 337 341 961 1011 1023 2883 3707 10447 10571 11121 31341 31713 114917 323857 344751 971571 3562427 10687281