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5220400240 = 2451159100547
BaseRepresentation
bin1001101110010100…
…01111110001110000
3111110211002210212001
410313022033301300
541142410301430
62222003143344
7243236445526
oct46712176160
914424083761
105220400240
112239863a70
121018374b54
13652709533
14377474316
152084903ca
hex13728fc70

5220400240 has 80 divisors (see below), whose sum is σ = 13465388160. Its totient is φ = 1866133760.

The previous prime is 5220400219. The next prime is 5220400243. The reversal of 5220400240 is 420040225.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5220400243) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1647 + ... + 102193.

It is an arithmetic number, because the mean of its divisors is an integer number (168317352).

Almost surely, 25220400240 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 5220400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732694080).

5220400240 is an abundant number, since it is smaller than the sum of its proper divisors (8244987920).

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

5220400240 is a wasteful number, since it uses less digits than its factorization.

5220400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100630 (or 100624 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 5220400240 is about 72252.3372632332. The cubic root of 5220400240 is about 1734.7408294951.

Adding to 5220400240 its reverse (420040225), we get a palindrome (5640440465).

The spelling of 5220400240 in words is "five billion, two hundred twenty million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 59 80 88 110 118 176 220 236 295 440 472 590 649 880 944 1180 1298 2360 2596 3245 4720 5192 6490 10384 12980 25960 51920 100547 201094 402188 502735 804376 1005470 1106017 1608752 2010940 2212034 4021880 4424068 5530085 5932273 8043760 8848136 11060170 11864546 17696272 22120340 23729092 29661365 44240680 47458184 59322730 65255003 88481360 94916368 118645460 130510006 237290920 261020012 326275015 474581840 522040024 652550030 1044080048 1305100060 2610200120 5220400240