Search a number
-
+
559164340 = 2257171032281
BaseRepresentation
bin100001010101000…
…010101110110100
31102222011111021101
4201111002232310
52121121224330
6131252455444
716566550510
oct4125025664
91388144241
10559164340
112676a7499
1213731a584
138bacb897
1454397140
15341534ca
hex21542bb4

559164340 has 96 divisors (see below), whose sum is σ = 1435359744. Its totient is φ = 178606080.

The previous prime is 559164337. The next prime is 559164343. The reversal of 559164340 is 43461955.

It is an interprime number because it is at equal distance from previous prime (559164337) and next prime (559164343).

It is a self number, because there is not a number n which added to its sum of digits gives 559164340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (559164343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244000 + ... + 246280.

It is an arithmetic number, because the mean of its divisors is an integer number (14951664).

Almost surely, 2559164340 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 559164340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717679872).

559164340 is an abundant number, since it is smaller than the sum of its proper divisors (876195404).

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

559164340 is a wasteful number, since it uses less digits than its factorization.

559164340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2417 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 559164340 is about 23646.6560003735. The cubic root of 559164340 is about 823.8468566528.

It can be divided in two parts, 559164 and 340, that added together give a square (559504 = 7482).

The spelling of 559164340 in words is "five hundred fifty-nine million, one hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 103 119 140 170 206 238 340 412 476 515 595 721 1030 1190 1442 1751 2060 2281 2380 2884 3502 3605 4562 7004 7210 8755 9124 11405 12257 14420 15967 17510 22810 24514 31934 35020 38777 45620 49028 61285 63868 77554 79835 122570 155108 159670 193885 234943 245140 271439 319340 387770 469886 542878 775540 939772 1085756 1174715 1357195 1644601 2349430 2714390 3289202 3994031 4698860 5428780 6578404 7988062 8223005 15976124 16446010 19970155 27958217 32892020 39940310 55916434 79880620 111832868 139791085 279582170 559164340