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514145320 = 235132194003
BaseRepresentation
bin11110101001010…
…011110000101000
31022211110021210021
4132221103300220
52023110122240
6123003530224
715512106643
oct3651236050
91284407707
10514145320
11244248a97
12124229974
1382698700
144c3d8a5a
153020e54a
hex1ea53c28

514145320 has 96 divisors (see below), whose sum is σ = 1318917600. Its totient is φ = 179801856.

The previous prime is 514145309. The next prime is 514145329. The reversal of 514145320 is 23541415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (514145329) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126439 + ... + 130441.

It is an arithmetic number, because the mean of its divisors is an integer number (13738725).

Almost surely, 2514145320 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 514145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659458800).

514145320 is an abundant number, since it is smaller than the sum of its proper divisors (804772280).

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

514145320 is a wasteful number, since it uses less digits than its factorization.

514145320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4059 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 514145320 is about 22674.7727662263. The cubic root of 514145320 is about 801.1157971889.

Adding to 514145320 its reverse (23541415), we get a palindrome (537686735).

The spelling of 514145320 in words is "five hundred fourteen million, one hundred forty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 169 190 247 260 338 380 494 520 676 760 845 988 1235 1352 1690 1976 2470 3211 3380 4003 4940 6422 6760 8006 9880 12844 16012 16055 20015 25688 32024 32110 40030 52039 64220 76057 80060 104078 128440 152114 160120 208156 260195 304228 380285 416312 520390 608456 676507 760570 988741 1040780 1353014 1521140 1977482 2081560 2706028 3042280 3382535 3954964 4943705 5412056 6765070 7909928 9887410 12853633 13530140 19774820 25707266 27060280 39549640 51414532 64268165 102829064 128536330 257072660 514145320