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514201320 = 233252949253
BaseRepresentation
bin11110101001100…
…001011011101000
31022211120010121100
4132221201123220
52023113420240
6123005041400
715512432133
oct3651413350
91284503540
10514201320
11244287076
12124256260
13826b8049
144c41121a
1530220e30
hex1ea616e8

514201320 has 96 divisors (see below), whose sum is σ = 1728815400. Its totient is φ = 132389376.

The previous prime is 514201297. The next prime is 514201339. The reversal of 514201320 is 23102415.

514201320 is a `hidden beast` number, since 514 + 20 + 132 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 316911204 + 197290116 = 17802^2 + 14046^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 514201293 and 514201302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14187 + ... + 35066.

Almost surely, 2514201320 is an apocalyptic number.

It is an amenable number.

514201320 is an abundant number, since it is smaller than the sum of its proper divisors (1214614080).

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

514201320 is a wasteful number, since it uses less digits than its factorization.

514201320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49299 (or 49292 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 514201320 is about 22676.0075851107. The cubic root of 514201320 is about 801.1448816094.

Adding to 514201320 its reverse (23102415), we get a palindrome (537303735).

The spelling of 514201320 in words is "five hundred fourteen million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 49253 98506 147759 197012 246265 295518 394024 443277 492530 591036 738795 886554 985060 1182072 1428337 1477590 1773108 1970120 2216385 2856674 2955180 3546216 4285011 4432770 5713348 5910360 7141685 8570022 8865540 11426696 12855033 14283370 17140044 17731080 21425055 25710066 28566740 34280088 42850110 51420132 57133480 64275165 85700220 102840264 128550330 171400440 257100660 514201320