Search a number
-
+
514123320 = 233553229353
BaseRepresentation
bin11110101001001…
…110011000111000
31022211102011121110
4132221032120320
52023103421240
6123003240320
715511655544
oct3651163070
91284364543
10514123320
11244233507
121242190a0
138268b6a9
144c3d0a24
1530207c80
hex1ea4e638

514123320 has 128 divisors (see below), whose sum is σ = 1582804800. Its totient is φ = 133545984.

The previous prime is 514123307. The next prime is 514123343. The reversal of 514123320 is 23321415.

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, 1456264 + ... + 1456616.

Almost surely, 2514123320 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 514123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791402400).

514123320 is an abundant number, since it is smaller than the sum of its proper divisors (1068681480).

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

514123320 is a wasteful number, since it uses less digits than its factorization.

514123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 514123320 is about 22674.2876404089. The cubic root of 514123320 is about 801.1043705888.

Adding to 514123320 its reverse (23321415), we get a palindrome (537444735).

The spelling of 514123320 in words is "five hundred fourteen million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 229 265 318 353 424 458 530 636 687 706 795 916 1059 1060 1145 1272 1374 1412 1590 1765 1832 2118 2120 2290 2748 2824 3180 3435 3530 4236 4580 5295 5496 6360 6870 7060 8472 9160 10590 12137 13740 14120 18709 21180 24274 27480 36411 37418 42360 48548 56127 60685 72822 74836 80837 93545 97096 112254 121370 145644 149672 161674 182055 187090 224508 242511 242740 280635 291288 323348 364110 374180 404185 449016 485022 485480 561270 646696 728220 748360 808370 970044 1122540 1212555 1456440 1616740 1940088 2245080 2425110 3233480 4284361 4850220 8568722 9700440 12853083 17137444 21421805 25706166 34274888 42843610 51412332 64265415 85687220 102824664 128530830 171374440 257061660 514123320