Search a number
-
+
10661427 = 3273153103
BaseRepresentation
bin101000101010…
…111000110011
3202001122201200
4220222320303
510212131202
61020302243
7156422610
oct50527063
922048650
1010661427
1160220a7
1236a1983
13229394a
1415b7507
15e08e1c
hexa2ae33

10661427 has 48 divisors (see below), whose sum is σ = 18690048. Its totient is φ = 5728320.

The previous prime is 10661423. The next prime is 10661449. The reversal of 10661427 is 72416601.

10661427 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10661427 - 22 = 10661423 is a prime.

It is a super-2 number, since 2×106614272 = 227332051352658, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10661427.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10661423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 103458 + ... + 103560.

It is an arithmetic number, because the mean of its divisors is an integer number (389376).

Almost surely, 210661427 is an apocalyptic number.

10661427 is a deficient number, since it is larger than the sum of its proper divisors (8028621).

10661427 is a wasteful number, since it uses less digits than its factorization.

10661427 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 10661427 is about 3265.1840683184. The cubic root of 10661427 is about 220.0924336101.

The spelling of 10661427 in words is "ten million, six hundred sixty-one thousand, four hundred twenty-seven".

Divisors: 1 3 7 9 21 31 53 63 93 103 159 217 279 309 371 477 651 721 927 1113 1643 1953 2163 3193 3339 4929 5459 6489 9579 11501 14787 16377 22351 28737 34503 38213 49131 67053 103509 114639 169229 201159 343917 507687 1184603 1523061 3553809 10661427