Search a number
-
+
5390110935 = 32511101131823
BaseRepresentation
bin1010000010100011…
…01001000011010111
3111220122110000011100
411001101221003113
542014332022220
62250504441143
7250400121066
oct50121510327
914818400140
105390110935
112316639140
1210651791b3
1367b919c71
14391c101dd
15218314d90
hex1414690d7

5390110935 has 96 divisors (see below), whose sum is σ = 10384298496. Its totient is φ = 2564640000.

The previous prime is 5390110907. The next prime is 5390110937.

5390110935 is a `hidden beast` number, since 539 + 0 + 110 + 9 + 3 + 5 = 666.

5390110935 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5390110935 - 27 = 5390110807 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5390110935.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5390110937) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6548934 + ... + 6549756.

It is an arithmetic number, because the mean of its divisors is an integer number (108169776).

Almost surely, 25390110935 is an apocalyptic number.

5390110935 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5390110935 is a deficient number, since it is larger than the sum of its proper divisors (4994187561).

5390110935 is a wasteful number, since it uses less digits than its factorization.

5390110935 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1074 counting only the distinct ones).

The product of its (nonzero) digits is 18225, while the sum is 36.

The square root of 5390110935 is about 73417.3748849685. The cubic root of 5390110935 is about 1753.3390329016.

The spelling of 5390110935 in words is "five billion, three hundred ninety million, one hundred ten thousand, nine hundred thirty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 101 131 165 303 393 495 505 655 823 909 1111 1179 1441 1515 1965 2469 3333 4115 4323 4545 5555 5895 7205 7407 9053 9999 12345 12969 13231 16665 21615 27159 37035 39693 45265 49995 64845 66155 81477 83123 107813 119079 135795 145541 198465 249369 323439 407385 415615 436623 539065 595395 727705 748107 914353 970317 1185943 1246845 1309869 1617195 2183115 2743059 3557829 3740535 4571765 4851585 5929715 6549345 8229177 10673487 10889113 13715295 17789145 32667339 41145885 53367435 54445565 98002017 119780243 163336695 359340729 490010085 598901215 1078022187 1796703645 5390110935