Search a number
-
+
514365240 = 233512733751
BaseRepresentation
bin11110101010001…
…001011100111000
31022211212110110110
4132222021130320
52023134141430
6123012344320
715514014054
oct3652113470
91284773413
10514365240
11244389244
121243150a0
138274483c
144c454c64
15302547b0
hex1ea89738

514365240 has 64 divisors (see below), whose sum is σ = 1555292160. Its totient is φ = 136080000.

The previous prime is 514365233. The next prime is 514365253. The reversal of 514365240 is 42563415.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 514365198 and 514365207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1636 + ... + 32115.

It is an arithmetic number, because the mean of its divisors is an integer number (24301440).

Almost surely, 2514365240 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 514365240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777646080).

514365240 is an abundant number, since it is smaller than the sum of its proper divisors (1040926920).

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

514365240 is a wasteful number, since it uses less digits than its factorization.

514365240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33892 (or 33888 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 514365240 is about 22679.6216899665. The cubic root of 514365240 is about 801.2300037277.

It can be divided in two parts, 514365 and 240, that added together give a triangular number (514605 = T1014).

The spelling of 514365240 in words is "five hundred fourteen million, three hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 127 254 381 508 635 762 1016 1270 1524 1905 2540 3048 3810 5080 7620 15240 33751 67502 101253 135004 168755 202506 270008 337510 405012 506265 675020 810024 1012530 1350040 2025060 4050120 4286377 8572754 12859131 17145508 21431885 25718262 34291016 42863770 51436524 64295655 85727540 102873048 128591310 171455080 257182620 514365240