Search a number
-
+
10780077 = 3711232029
BaseRepresentation
bin101001000111…
…110110101101
3202021200111010
4221013312231
510224430302
61023015433
7160425540
oct51076655
922250433
1010780077
1160a3260
12373a579
132305959
141608857
15e2e16c
hexa47dad

10780077 has 32 divisors (see below), whose sum is σ = 18708480. Its totient is φ = 5353920.

The previous prime is 10780069. The next prime is 10780093. The reversal of 10780077 is 77008701.

It is not a de Polignac number, because 10780077 - 23 = 10780069 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10780027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4299 + ... + 6327.

It is an arithmetic number, because the mean of its divisors is an integer number (584640).

Almost surely, 210780077 is an apocalyptic number.

It is an amenable number.

10780077 is a deficient number, since it is larger than the sum of its proper divisors (7928403).

10780077 is a wasteful number, since it uses less digits than its factorization.

10780077 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073.

The product of its (nonzero) digits is 2744, while the sum is 30.

The square root of 10780077 is about 3283.3027578949. The cubic root of 10780077 is about 220.9058859588.

Adding to 10780077 its reverse (77008701), we get a palindrome (87788778).

It can be divided in two parts, 10 and 780077, that added together give a palindrome (780087).

The spelling of 10780077 in words is "ten million, seven hundred eighty thousand, seventy-seven".

Divisors: 1 3 7 11 21 23 33 69 77 161 231 253 483 759 1771 2029 5313 6087 14203 22319 42609 46667 66957 140001 156233 326669 468699 513337 980007 1540011 3593359 10780077