Search a number
-
+
30684720 = 24351159197
BaseRepresentation
bin111010100001…
…1011000110000
32010201221112010
41311003120300
530323402340
63013402520
7521546553
oct165033060
963657463
1030684720
1116358980
12a339440
136484851
14410a69a
152a61b80
hex1d43630

30684720 has 160 divisors (see below), whose sum is σ = 106064640. Its totient is φ = 7275520.

The previous prime is 30684713. The next prime is 30684733. The reversal of 30684720 is 2748603.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155662 + ... + 155858.

It is an arithmetic number, because the mean of its divisors is an integer number (662904).

Almost surely, 230684720 is an apocalyptic number.

30684720 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 30684720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53032320).

30684720 is an abundant number, since it is smaller than the sum of its proper divisors (75379920).

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

30684720 is a wasteful number, since it uses less digits than its factorization.

30684720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 30684720 is about 5539.3790265697. The cubic root of 30684720 is about 313.0694725462.

The spelling of 30684720 in words is "thirty million, six hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 59 60 66 80 88 110 118 120 132 165 176 177 197 220 236 240 264 295 330 354 394 440 472 528 590 591 649 660 708 788 880 885 944 985 1180 1182 1298 1320 1416 1576 1770 1947 1970 2167 2360 2364 2596 2640 2832 2955 3152 3245 3540 3894 3940 4334 4720 4728 5192 5910 6490 6501 7080 7788 7880 8668 9456 9735 10384 10835 11623 11820 12980 13002 14160 15576 15760 17336 19470 21670 23246 23640 25960 26004 31152 32505 34672 34869 38940 43340 46492 47280 51920 52008 58115 65010 69738 77880 86680 92984 104016 116230 127853 130020 139476 155760 173360 174345 185968 232460 255706 260040 278952 348690 383559 464920 511412 520080 557904 639265 697380 767118 929840 1022824 1278530 1394760 1534236 1917795 2045648 2557060 2789520 3068472 3835590 5114120 6136944 7671180 10228240 15342360 30684720