Search a number
-
+
30606667260 = 223513212723767
BaseRepresentation
bin11100100000010011…
…001010110111111100
32221000000211210101220
4130200103022313330
51000140301323020
622021023033340
72132314244031
oct344023126774
987000753356
1030606667260
1111a86736134
125b2213b850
132b69c86600
1416a4c49388
15be2012240
hex7204cadfc

30606667260 has 144 divisors (see below), whose sum is σ = 93532594176. Its totient is φ = 7474311936.

The previous prime is 30606667159. The next prime is 30606667261. The reversal of 30606667260 is 6276660603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30606667261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275897 + ... + 1299663.

It is an arithmetic number, because the mean of its divisors is an integer number (649531904).

Almost surely, 230606667260 is an apocalyptic number.

30606667260 is a gapful number since it is divisible by the number (30) 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 30606667260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46766297088).

30606667260 is an abundant number, since it is smaller than the sum of its proper divisors (62925926916).

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

30606667260 is a wasteful number, since it uses less digits than its factorization.

30606667260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23932 (or 23917 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 42.

The spelling of 30606667260 in words is "thirty billion, six hundred six million, six hundred sixty-seven thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 169 195 254 260 338 381 390 507 508 635 676 762 780 845 1014 1270 1524 1651 1690 1905 2028 2535 2540 3302 3380 3810 4953 5070 6604 7620 8255 9906 10140 16510 19812 21463 23767 24765 33020 42926 47534 49530 64389 71301 85852 95068 99060 107315 118835 128778 142602 214630 237670 257556 285204 308971 321945 356505 429260 475340 617942 643890 713010 926913 1235884 1287780 1426020 1544855 1853826 3018409 3089710 3707652 4016623 4634565 6036818 6179420 8033246 9055227 9269130 12049869 12073636 15092045 16066492 18110454 18538260 20083115 24099738 30184090 36220908 39239317 40166230 45276135 48199476 60249345 60368180 78478634 80332460 90552270 117717951 120498690 156957268 181104540 196196585 235435902 240997380 392393170 470871804 510111121 588589755 784786340 1020222242 1177179510 1530333363 2040444484 2354359020 2550555605 3060666726 5101111210 6121333452 7651666815 10202222420 15303333630 30606667260