[go: up one dir, main page]

Search a number
-
+
665116056 = 2333111571783
BaseRepresentation
bin100111101001001…
…101110110011000
31201100112101201000
4213221031312120
52330232203211
6145555425000
722324251603
oct4751156630
91640471630
10665116056
113114935a0
121668b5160
13a7a473c7
146449733a
153d5d1656
hex27a4dd98

665116056 has 128 divisors (see below), whose sum is σ = 2029478400. Its totient is φ = 200154240.

The previous prime is 665116051. The next prime is 665116061. The reversal of 665116056 is 650611566.

It is an interprime number because it is at equal distance from previous prime (665116051) and next prime (665116061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 665116056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (665116051) 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, 372141 + ... + 373923.

It is an arithmetic number, because the mean of its divisors is an integer number (15855300).

Almost surely, 2665116056 is an apocalyptic number.

665116056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 665116056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014739200).

665116056 is an abundant number, since it is smaller than the sum of its proper divisors (1364362344).

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

665116056 is a wasteful number, since it uses less digits than its factorization.

665116056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 665116056 is about 25789.8440476091. The cubic root of 665116056 is about 872.9026473555.

The spelling of 665116056 in words is "six hundred sixty-five million, one hundred sixteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 157 198 216 264 297 314 396 471 594 628 792 942 1188 1256 1413 1727 1783 1884 2376 2826 3454 3566 3768 4239 5181 5349 5652 6908 7132 8478 10362 10698 11304 13816 14264 15543 16047 16956 19613 20724 21396 31086 32094 33912 39226 41448 42792 46629 48141 58839 62172 64188 78452 93258 96282 117678 124344 128376 156904 176517 186516 192564 235356 279931 353034 373032 385128 470712 529551 559862 706068 839793 1059102 1119724 1412136 1679586 2118204 2239448 2519379 3079241 3359172 4236408 5038758 6158482 6718344 7558137 9237723 10077516 12316964 15116274 18475446 20155032 24633928 27713169 30232548 36950892 55426338 60465096 73901784 83139507 110852676 166279014 221705352 332558028 665116056