Search a number
-
+
5614345660 = 2257114188919
BaseRepresentation
bin1010011101010010…
…00001110110111100
3112111021101022101011
411032221001312330
542444233030120
62325034525004
7256062102460
oct51651016674
915437338334
105614345660
112421173aa0
121108296764
136b620b031
143b39004a0
1522cd59c5a
hex14ea41dbc

5614345660 has 96 divisors (see below), whose sum is σ = 15058068480. Its totient is φ = 1707225600.

The previous prime is 5614345657. The next prime is 5614345669. The reversal of 5614345660 is 665434165.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5614345669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18681 + ... + 107599.

It is an arithmetic number, because the mean of its divisors is an integer number (156854880).

Almost surely, 25614345660 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5614345660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7529034240).

5614345660 is an abundant number, since it is smaller than the sum of its proper divisors (9443722820).

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

5614345660 is a wasteful number, since it uses less digits than its factorization.

5614345660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88987 (or 88985 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The square root of 5614345660 is about 74928.9374007132. The cubic root of 5614345660 is about 1777.3230877303.

The spelling of 5614345660 in words is "five billion, six hundred fourteen million, three hundred forty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 41 44 55 70 77 82 110 140 154 164 205 220 287 308 385 410 451 574 770 820 902 1148 1435 1540 1804 2255 2870 3157 4510 5740 6314 9020 12628 15785 31570 63140 88919 177838 355676 444595 622433 889190 978109 1244866 1778380 1956218 2489732 3112165 3645679 3912436 4890545 6224330 6846763 7291358 9781090 12448660 13693526 14582716 18228395 19562180 25519753 27387052 34233815 36456790 40102469 51039506 68467630 72913580 80204938 102079012 127598765 136935260 160409876 200512345 255197530 280717283 401024690 510395060 561434566 802049380 1122869132 1403586415 2807172830 5614345660