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510505116 = 2231143531697
BaseRepresentation
bin11110011011011…
…011000010011100
31022120121100100220
4132123123002130
52021142130431
6122353521340
715436136052
oct3633330234
91276540326
10510505116
11242192060
12122b73250
13819c2844
144bb2c1d2
152ec40b96
hex1e6db09c

510505116 has 96 divisors (see below), whose sum is σ = 1355574528. Its totient is φ = 148162560.

The previous prime is 510505109. The next prime is 510505147. The reversal of 510505116 is 611505015.

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, 299980 + ... + 301676.

It is an arithmetic number, because the mean of its divisors is an integer number (14120568).

Almost surely, 2510505116 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 510505116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677787264).

510505116 is an abundant number, since it is smaller than the sum of its proper divisors (845069412).

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

510505116 is a wasteful number, since it uses less digits than its factorization.

510505116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1811 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 510505116 is about 22594.3602697664. The cubic root of 510505116 is about 799.2206556078.

The spelling of 510505116 in words is "five hundred ten million, five hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 53 66 86 106 129 132 159 172 212 258 318 473 516 583 636 946 1166 1419 1697 1749 1892 2279 2332 2838 3394 3498 4558 5091 5676 6788 6837 6996 9116 10182 13674 18667 20364 25069 27348 37334 50138 56001 72971 74668 75207 89941 100276 112002 145942 150414 179882 218913 224004 269823 291884 300828 359764 437826 539646 802681 875652 989351 1079292 1605362 1978702 2408043 2968053 3210724 3867463 3957404 4816086 5936106 7734926 9632172 11602389 11872212 15469852 23204778 42542093 46409556 85084186 127626279 170168372 255252558 510505116