Search a number
-
+
514062164 = 227113779571
BaseRepresentation
bin11110101000111…
…111011101010100
31022211022001201102
4132220333131110
52023044442124
6123002045232
715511312340
oct3650773524
91284261642
10514062164
112441a1570
121241a9818
13826698c5
144c3b6620
15301e4aae
hex1ea3f754

514062164 has 96 divisors (see below), whose sum is σ = 1168527360. Its totient is φ = 192067200.

The previous prime is 514062161. The next prime is 514062179. The reversal of 514062164 is 461260415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514062161) 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, 899999 + ... + 900569.

It is an arithmetic number, because the mean of its divisors is an integer number (12172160).

Almost surely, 2514062164 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 514062164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584263680).

514062164 is an abundant number, since it is smaller than the sum of its proper divisors (654465196).

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

514062164 is a wasteful number, since it uses less digits than its factorization.

514062164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 514062164 is about 22672.9390243083. The cubic root of 514062164 is about 801.0726050054.

The spelling of 514062164 in words is "five hundred fourteen million, sixty-two thousand, one hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 37 44 74 77 79 148 154 158 259 308 316 407 518 553 571 814 869 1036 1106 1142 1628 1738 2212 2284 2849 2923 3476 3997 5698 5846 6083 6281 7994 11396 11692 12166 12562 15988 20461 21127 24332 25124 32153 40922 42254 43967 45109 64306 81844 84508 87934 90218 128612 147889 175868 180436 225071 232397 295778 315763 450142 464794 496199 591556 631526 900284 929588 992398 1263052 1626779 1669033 1984796 3253558 3338066 3473393 6507116 6676132 6946786 11683231 13893572 18359363 23366462 36718726 46732924 73437452 128515541 257031082 514062164