Search a number
-
+
6005285142 = 2323294334897
BaseRepresentation
bin1011001011111000…
…10110000100010110
3120111112000002112020
411211330112010112
544244323111032
62431522034010
7301550036643
oct54574260426
916445002466
106005285142
11260191067a
1211b71a8906
137491c957c
1440d7c6dca
1525232db2c
hex165f16116

6005285142 has 64 divisors (see below), whose sum is σ = 13266823680. Its totient is φ = 1805658624.

The previous prime is 6005284991. The next prime is 6005285159. The reversal of 6005285142 is 2415825006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154638 + ... + 189534.

It is an arithmetic number, because the mean of its divisors is an integer number (207294120).

Almost surely, 26005285142 is an apocalyptic number.

6005285142 is an abundant number, since it is smaller than the sum of its proper divisors (7261538538).

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

6005285142 is a wasteful number, since it uses less digits than its factorization.

6005285142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34997.

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 6005285142 is about 77493.7748596621. The cubic root of 6005285142 is about 1817.6539773823.

The spelling of 6005285142 in words is "six billion, five million, two hundred eighty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 23 29 43 46 58 69 86 87 129 138 174 258 667 989 1247 1334 1978 2001 2494 2967 3741 4002 5934 7482 28681 34897 57362 69794 86043 104691 172086 209382 802631 1012013 1500571 1605262 2024026 2407893 3001142 3036039 4501713 4815786 6072078 9003426 23276299 34513133 43516559 46552598 69026266 69828897 87033118 103539399 130549677 139657794 207078798 261099354 1000880857 2001761714 3002642571 6005285142