Search a number
-
+
514106658 = 232136136017
BaseRepresentation
bin11110101001001…
…010010100100010
31022211101022202100
4132221022110202
52023102403113
6123003031230
715511556142
oct3651122442
91284338670
10514106658
11244221a3a
1212420b516
1382683c30
144c3c8922
1530202d73
hex1ea4a522

514106658 has 48 divisors (see below), whose sum is σ = 1219281336. Its totient is φ = 155589120.

The previous prime is 514106657. The next prime is 514106683. The reversal of 514106658 is 856601415.

It can be written as a sum of positive squares in 4 ways, for example, as 208311489 + 305795169 = 14433^2 + 17487^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (514106657) 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 23 ways as a sum of consecutive naturals, for example, 3735 + ... + 32282.

Almost surely, 2514106658 is an apocalyptic number.

514106658 is an abundant number, since it is smaller than the sum of its proper divisors (705174678).

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

514106658 is a wasteful number, since it uses less digits than its factorization.

514106658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36099 (or 36096 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 514106658 is about 22673.9202168483. The cubic root of 514106658 is about 801.0957162805.

The spelling of 514106658 in words is "five hundred fourteen million, one hundred six thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 14274 36017 72034 108051 216102 324153 468221 648306 936442 1404663 2197037 2809326 4213989 4394074 6591111 8427978 13182222 19773333 28561481 39546666 57122962 85684443 171368886 257053329 514106658