Search a number
-
+
5214300336 = 2432710151217
BaseRepresentation
bin1001101101100101…
…11110100010110000
3111110101121220100200
410312302332202300
541134330102321
62221224315200
7243133551540
oct46662764260
914411556320
105214300336
112236378023
121016312b00
13651381c1b
14376727320
15207b87d26
hex136cbe8b0

5214300336 has 120 divisors (see below), whose sum is σ = 16842936864. Its totient is φ = 1475020800.

The previous prime is 5214300293. The next prime is 5214300373. The reversal of 5214300336 is 6330034125.

It is a happy number.

5214300336 is a `hidden beast` number, since 5 + 21 + 4 + 300 + 336 = 666.

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 23 ways as a sum of consecutive naturals, for example, 76200 + ... + 127416.

Almost surely, 25214300336 is an apocalyptic number.

5214300336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5214300336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8421468432).

5214300336 is an abundant number, since it is smaller than the sum of its proper divisors (11628636528).

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

5214300336 is a wasteful number, since it uses less digits than its factorization.

5214300336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51339 (or 51330 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 5214300336 is about 72210.1124220147. The cubic root of 5214300336 is about 1734.0648994120.

The spelling of 5214300336 in words is "five billion, two hundred fourteen million, three hundred thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 101 112 126 144 168 202 252 303 336 404 504 606 707 808 909 1008 1212 1414 1616 1818 2121 2424 2828 3636 4242 4848 5656 6363 7272 8484 11312 12726 14544 16968 25452 33936 50904 51217 101808 102434 153651 204868 307302 358519 409736 460953 614604 717038 819472 921906 1075557 1229208 1434076 1843812 2151114 2458416 2868152 3226671 3687624 4302228 5172917 5736304 6453342 7375248 8604456 10345834 12906684 15518751 17208912 20691668 25813368 31037502 36210419 41383336 46556253 51626736 62075004 72420838 82766672 93112506 108631257 124150008 144841676 186225012 217262514 248300016 289683352 325893771 372450024 434525028 579366704 651787542 744900048 869050056 1303575084 1738100112 2607150168 5214300336