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514431390 = 2351117107857
BaseRepresentation
bin11110101010011…
…001100110011110
31022211222211012110
4132222121212132
52023143301030
6123014014450
715514410654
oct3652314636
91284884173
10514431390
11244423a10
12124347426
1382768995
144c470dd4
15302691b0
hex1ea9999e

514431390 has 128 divisors (see below), whose sum is σ = 1441110528. Its totient is φ = 116142080.

The previous prime is 514431389. The next prime is 514431413. The reversal of 514431390 is 93134415.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 599842 + ... + 600698.

It is an arithmetic number, because the mean of its divisors is an integer number (11258676).

Almost surely, 2514431390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514431390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720555264).

514431390 is an abundant number, since it is smaller than the sum of its proper divisors (926679138).

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

514431390 is a wasteful number, since it uses less digits than its factorization.

514431390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002.

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 514431390 is about 22681.0800007407. The cubic root of 514431390 is about 801.2643496805.

The spelling of 514431390 in words is "five hundred fourteen million, four hundred thirty-one thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 107 110 165 170 187 214 255 321 330 374 510 535 561 642 857 935 1070 1122 1177 1605 1714 1819 1870 2354 2571 2805 3210 3531 3638 4285 5142 5457 5610 5885 7062 8570 9095 9427 10914 11770 12855 14569 17655 18190 18854 20009 25710 27285 28281 29138 35310 40018 43707 47135 54570 56562 60027 72845 87414 91699 94270 100045 120054 141405 145690 160259 183398 200090 218535 275097 282810 300135 320518 437070 458495 480777 550194 600270 801295 916990 961554 1008689 1375485 1558883 1602590 2017378 2403885 2750970 3026067 3117766 4676649 4807770 5043445 6052134 7794415 9353298 10086890 15130335 15588830 17147713 23383245 30260670 34295426 46766490 51443139 85738565 102886278 171477130 257215695 514431390