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5662100240 = 245175378553
BaseRepresentation
bin1010100010111110…
…01100101100010000
3112121121020111100022
411101133030230100
543043444201430
62333502243012
7260212025606
oct52137145420
915547214308
105662100240
112446120795
121120286468
136c308b394
143b9db1876
1523213e4e5
hex1517ccb10

5662100240 has 80 divisors (see below), whose sum is σ = 14201934768. Its totient is φ = 2091368448.

The previous prime is 5662100237. The next prime is 5662100243. The reversal of 5662100240 is 420012665.

It is an interprime number because it is at equal distance from previous prime (5662100237) and next prime (5662100243).

It can be written as a sum of positive squares in 8 ways, for example, as 7661824 + 5654438416 = 2768^2 + 75196^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5662100243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32804 + ... + 111356.

Almost surely, 25662100240 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 5662100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7100967384).

5662100240 is an abundant number, since it is smaller than the sum of its proper divisors (8539834528).

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

5662100240 is a wasteful number, since it uses less digits than its factorization.

5662100240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78636 (or 78630 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 5662100240 is about 75246.9284422959. The cubic root of 5662100240 is about 1782.3480605941.

The spelling of 5662100240 in words is "five billion, six hundred sixty-two million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 340 424 530 680 848 901 1060 1360 1802 2120 3604 4240 4505 7208 9010 14416 18020 36040 72080 78553 157106 314212 392765 628424 785530 1256848 1335401 1571060 2670802 3142120 4163309 5341604 6284240 6677005 8326618 10683208 13354010 16653236 20816545 21366416 26708020 33306472 41633090 53416040 66612944 70776253 83266180 106832080 141552506 166532360 283105012 333064720 353881265 566210024 707762530 1132420048 1415525060 2831050120 5662100240