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30868560 = 2433531461
BaseRepresentation
bin111010111000…
…0010001010000
32011002021201000
41311300101100
530400243220
63021342000
7523243542
oct165602120
964067630
1030868560
1116474008
12a407900
13651a428
144157692
152a9b390
hex1d70450

30868560 has 160 divisors (see below), whose sum is σ = 109992960. Its totient is φ = 7948800.

The previous prime is 30868547. The next prime is 30868571. The reversal of 30868560 is 6586803.

30868560 is a `hidden beast` number, since 30 + 8 + 68 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 66730 + ... + 67190.

It is an arithmetic number, because the mean of its divisors is an integer number (687456).

Almost surely, 230868560 is an apocalyptic number.

30868560 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 30868560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54996480).

30868560 is an abundant number, since it is smaller than the sum of its proper divisors (79124400).

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

30868560 is a wasteful number, since it uses less digits than its factorization.

30868560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 30868560 is about 5555.9481639051. The cubic root of 30868560 is about 313.6934544637.

The spelling of 30868560 in words is "thirty million, eight hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 461 465 496 540 558 620 720 744 837 922 930 1080 1116 1240 1383 1395 1488 1674 1844 1860 2160 2232 2305 2480 2766 2790 3348 3688 3720 4149 4185 4464 4610 5532 5580 6696 6915 7376 7440 8298 8370 9220 11064 11160 12447 13392 13830 14291 16596 16740 18440 20745 22128 22320 24894 27660 28582 33192 33480 36880 41490 42873 49788 55320 57164 62235 66384 66960 71455 82980 85746 99576 110640 114328 124470 128619 142910 165960 171492 199152 214365 228656 248940 257238 285820 331920 342984 385857 428730 497880 514476 571640 643095 685968 771714 857460 995760 1028952 1143280 1286190 1543428 1714920 1929285 2057904 2572380 3086856 3429840 3858570 5144760 6173712 7717140 10289520 15434280 30868560