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2002025136 = 243192313727
BaseRepresentation
bin111011101010100…
…0111101010110000
312011112011102012010
41313111013222300
513100004301021
6530354202520
7100416634656
oct16725075260
95145142163
102002025136
11938100131
1247a583440
1325ba06077
1414dc64dd6
15bab62976
hex77547ab0

2002025136 has 120 divisors (see below), whose sum is σ = 5636020224. Its totient is φ = 611660160.

The previous prime is 2002025107. The next prime is 2002025149. The reversal of 2002025136 is 6315202002.

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, 535305 + ... + 539031.

Almost surely, 22002025136 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 2002025136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818010112).

2002025136 is an abundant number, since it is smaller than the sum of its proper divisors (3633995088).

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

2002025136 is a wasteful number, since it uses less digits than its factorization.

2002025136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2002025136 is about 44743.9955301267. The cubic root of 2002025136 is about 1260.3461583560.

Adding to 2002025136 its reverse (6315202002), we get a palindrome (8317227138).

The spelling of 2002025136 in words is "two billion, two million, twenty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 361 372 456 496 589 722 744 912 1083 1178 1444 1488 1767 2166 2356 2888 3534 3727 4332 4712 5776 7068 7454 8664 9424 11181 11191 14136 14908 17328 22362 22382 28272 29816 33573 44724 44764 59632 67146 70813 89448 89528 115537 134292 141626 178896 179056 212439 231074 268584 283252 346611 424878 462148 537168 566504 693222 849756 924296 1133008 1345447 1386444 1699512 1848592 2195203 2690894 2772888 3399024 4036341 4390406 5381788 5545776 6585609 8072682 8780812 10763576 13171218 16145364 17561624 21527152 26342436 32290728 35123248 41708857 52684872 64581456 83417714 105369744 125126571 166835428 250253142 333670856 500506284 667341712 1001012568 2002025136