Search a number
-
+
30064860 = 223257107223
BaseRepresentation
bin111001010110…
…0000011011100
32002120110020100
41302230003130
530144033420
62552221100
7513355440
oct162540334
962513210
1030064860
1115a751a1
12a09a790
1362c8677
143dc8820
15298d190
hex1cac0dc

30064860 has 144 divisors (see below), whose sum is σ = 105670656. Its totient is φ = 6777216.

The previous prime is 30064799. The next prime is 30064871. The reversal of 30064860 is 6846003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134709 + ... + 134931.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 230064860 is an apocalyptic number.

30064860 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 30064860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52835328).

30064860 is an abundant number, since it is smaller than the sum of its proper divisors (75605796).

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

30064860 is a wasteful number, since it uses less digits than its factorization.

30064860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 30064860 is about 5483.1432591170. The cubic root of 30064860 is about 310.9470173008.

The spelling of 30064860 in words is "thirty million, sixty-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 107 126 140 180 210 214 223 252 315 321 420 428 446 535 630 642 669 749 892 963 1070 1115 1260 1284 1338 1498 1561 1605 1926 2007 2140 2230 2247 2676 2996 3122 3210 3345 3745 3852 4014 4460 4494 4683 4815 6244 6420 6690 6741 7490 7805 8028 8988 9366 9630 10035 11235 13380 13482 14049 14980 15610 18732 19260 20070 22470 23415 23861 26964 28098 31220 33705 40140 44940 46830 47722 56196 67410 70245 71583 93660 95444 119305 134820 140490 143166 167027 214749 238610 280980 286332 334054 357915 429498 477220 501081 668108 715830 835135 858996 1002162 1073745 1431660 1503243 1670270 2004324 2147490 2505405 3006486 3340540 4294980 5010810 6012972 7516215 10021620 15032430 30064860