Search a number
-
+
5560235406 = 23211531094861
BaseRepresentation
bin1010010110110101…
…00111010110001110
3112100111120020001200
411023122213112032
542341410013111
62315423050330
7254534135565
oct51332472616
915314506050
105560235406
1123a3676180
1210b21409a6
136a7c43b2b
143aa656bdc
1522821c256
hex14b6a758e

5560235406 has 96 divisors (see below), whose sum is σ = 13515971040. Its totient is φ = 1637625600.

The previous prime is 5560235389. The next prime is 5560235431. The reversal of 5560235406 is 6045320655.

It is a happy number.

5560235406 is a `hidden beast` number, since 5 + 5 + 602 + 3 + 5 + 40 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141416 + ... + 1146276.

It is an arithmetic number, because the mean of its divisors is an integer number (140791365).

Almost surely, 25560235406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5560235406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757985520).

5560235406 is an abundant number, since it is smaller than the sum of its proper divisors (7955735634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5560235406 is a wasteful number, since it uses less digits than its factorization.

5560235406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5039 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5560235406 is about 74566.9860326941. The cubic root of 5560235406 is about 1771.5947840477.

The spelling of 5560235406 in words is "five billion, five hundred sixty million, two hundred thirty-five thousand, four hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 109 159 198 218 318 327 477 583 654 954 981 1166 1199 1749 1962 2398 3498 3597 4861 5247 5777 7194 9722 10494 10791 11554 14583 17331 21582 29166 34662 43749 51993 53471 63547 87498 103986 106942 127094 160413 190641 257633 320826 381282 481239 515266 529849 571923 772899 962478 1059698 1143846 1545798 1589547 2318697 2833963 3179094 4637394 4768641 5667926 5828339 8501889 9537282 11656678 17003778 17485017 25505667 28081997 34970034 51011334 52455051 56163994 84245991 104910102 168491982 252737973 308901967 505475946 617803934 926705901 1853411802 2780117703 5560235406