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5904144060 = 22353119316447
BaseRepresentation
bin1010111111110101…
…00001011010111100
3120020110200121001020
411133322201122330
544042430102220
62413510144140
7266211252663
oct53772413274
916213617036
105904144060
11255a80a901
121189352050
13731276589
144001b9dda
15248501040
hex15fea16bc

5904144060 has 96 divisors (see below), whose sum is σ = 17154342912. Its totient is φ = 1515663360.

The previous prime is 5904144023. The next prime is 5904144073. The reversal of 5904144060 is 604414095.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 350757 + ... + 367203.

It is an arithmetic number, because the mean of its divisors is an integer number (178691072).

Almost surely, 25904144060 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 5904144060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8577171456).

5904144060 is an abundant number, since it is smaller than the sum of its proper divisors (11250198852).

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

5904144060 is a wasteful number, since it uses less digits than its factorization.

5904144060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16683 (or 16681 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 5904144060 is about 76838.4282764816. The cubic root of 5904144060 is about 1807.3918317452.

The spelling of 5904144060 in words is "five billion, nine hundred four million, one hundred forty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 193 310 372 386 465 579 620 772 930 965 1158 1860 1930 2316 2895 3860 5790 5983 11580 11966 16447 17949 23932 29915 32894 35898 49341 59830 65788 71796 82235 89745 98682 119660 164470 179490 197364 246705 328940 358980 493410 509857 986820 1019714 1529571 2039428 2549285 3059142 3174271 5098570 6118284 6348542 7647855 9522813 10197140 12697084 15295710 15871355 19045626 30591420 31742710 38091252 47614065 63485420 95228130 98402401 190456260 196804802 295207203 393609604 492012005 590414406 984024010 1180828812 1476036015 1968048020 2952072030 5904144060