Search a number
-
+
10187077 = 53732633
BaseRepresentation
bin100110110111…
…000101000101
3201011120001011
4212313011011
510101441302
61002202221
7152405635
oct46670505
921146034
1010187077
11582877a
1234b3371
132158a74
1414d26c5
15d635d7
hex9b7145

10187077 has 8 divisors (see below), whose sum is σ = 10525464. Its totient is φ = 9854208.

The previous prime is 10187071. The next prime is 10187081. The reversal of 10187077 is 77078101.

10187077 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1240996 + 8946081 = 1114^2 + 2991^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10187077 - 223 = 1798469 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2553 + ... + 5185.

It is an arithmetic number, because the mean of its divisors is an integer number (1315683).

Almost surely, 210187077 is an apocalyptic number.

It is an amenable number.

10187077 is a deficient number, since it is larger than the sum of its proper divisors (338387).

10187077 is an equidigital number, since it uses as much as digits as its factorization.

10187077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759.

The product of its (nonzero) digits is 2744, while the sum is 31.

The square root of 10187077 is about 3191.7200691790. The cubic root of 10187077 is about 216.7786611011.

It can be divided in two parts, 101 and 87077, that added together give a palindrome (87178).

The spelling of 10187077 in words is "ten million, one hundred eighty-seven thousand, seventy-seven".

Divisors: 1 53 73 2633 3869 139549 192209 10187077