Search a number
-
+
10768077 = 322941257
BaseRepresentation
bin101001000100…
…111011001101
3202021002000200
4221010323031
510224034302
61022444113
7160345545
oct51047315
922232020
1010768077
116095241
123733639
132300358
141604325
15e2a81c
hexa44ecd

10768077 has 12 divisors (see below), whose sum is σ = 16090620. Its totient is φ = 6931008.

The previous prime is 10768027. The next prime is 10768091. The reversal of 10768077 is 77086701.

10768077 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 4447881 + 6320196 = 2109^2 + 2514^2 .

It is a de Polignac number, because none of the positive numbers 2k-10768077 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10768027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20368 + ... + 20889.

It is an arithmetic number, because the mean of its divisors is an integer number (1340885).

Almost surely, 210768077 is an apocalyptic number.

It is an amenable number.

10768077 is a deficient number, since it is larger than the sum of its proper divisors (5322543).

10768077 is a wasteful number, since it uses less digits than its factorization.

10768077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41292 (or 41289 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 10768077 is about 3281.4748208694. The cubic root of 10768077 is about 220.8238873219.

The spelling of 10768077 in words is "ten million, seven hundred sixty-eight thousand, seventy-seven".

Divisors: 1 3 9 29 87 261 41257 123771 371313 1196453 3589359 10768077