Search a number
-
+
56760714 = 23219295997
BaseRepresentation
bin1101100010000…
…1100110001010
310221210202001200
43120201212022
5104012320324
65344325030
71256313063
oct330414612
9127722050
1056760714
112a04918a
1217013776
13b9b472a
14777756a
154eb2ec9
hex362198a

56760714 has 96 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 16837632.

The previous prime is 56760713. The next prime is 56760761. The reversal of 56760714 is 41706765.

56760714 = T1964 + T1965 + ... + T1992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56760713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 585114 + ... + 585210.

It is an arithmetic number, because the mean of its divisors is an integer number (1433250).

Almost surely, 256760714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56760714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

56760714 is an abundant number, since it is smaller than the sum of its proper divisors (80831286).

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

56760714 is a wasteful number, since it uses less digits than its factorization.

56760714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 56760714 is about 7533.9706662556. The cubic root of 56760714 is about 384.3108241856.

The spelling of 56760714 in words is "fifty-six million, seven hundred sixty thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 59 87 97 114 118 171 174 177 194 261 291 342 354 522 531 551 582 873 1062 1102 1121 1653 1711 1746 1843 2242 2813 3306 3363 3422 3686 4959 5133 5529 5626 5723 6726 8439 9918 10089 10266 11058 11446 15399 16587 16878 17169 20178 25317 30798 32509 33174 34338 50634 51507 53447 65018 97527 103014 106894 108737 160341 165967 195054 217474 292581 320682 326211 331934 481023 497901 585162 652422 962046 978633 995802 1493703 1957266 2987406 3153373 6306746 9460119 18920238 28380357 56760714