Search a number
-
+
10624493 = 1173101131
BaseRepresentation
bin101000100001…
…110111101101
3201222210001202
4220201313231
510204440433
61015415245
7156210125
oct50416755
921883052
1010624493
115aa7380
123684525
13227cba9
1415a7c85
15decee8
hexa21ded

10624493 has 16 divisors (see below), whose sum is σ = 11956032. Its totient is φ = 9360000.

The previous prime is 10624447. The next prime is 10624499. The reversal of 10624493 is 39442601.

It is a cyclic number.

It is not a de Polignac number, because 10624493 - 212 = 10620397 is a prime.

It is a super-2 number, since 2×106244932 = 225759703014098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10624499) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 81038 + ... + 81168.

It is an arithmetic number, because the mean of its divisors is an integer number (747252).

Almost surely, 210624493 is an apocalyptic number.

It is an amenable number.

10624493 is a deficient number, since it is larger than the sum of its proper divisors (1331539).

10624493 is a wasteful number, since it uses less digits than its factorization.

10624493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 10624493 is about 3259.5234314237. The cubic root of 10624493 is about 219.8379867795.

It can be divided in two parts, 1062 and 4493, that added together give a palindrome (5555).

The spelling of 10624493 in words is "ten million, six hundred twenty-four thousand, four hundred ninety-three".

Divisors: 1 11 73 101 131 803 1111 1441 7373 9563 13231 81103 105193 145541 965863 10624493