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30668660 = 225112192329
BaseRepresentation
bin111010011111…
…1011101110100
32010201010111022
41310333131310
530322344120
63013200312
7521452001
oct164773564
963633438
1030668660
1116347900
12a330098
13647a449
1441048a8
152a5c025
hex1d3f774

30668660 has 144 divisors (see below), whose sum is σ = 80438400. Its totient is φ = 9757440.

The previous prime is 30668633. The next prime is 30668681. The reversal of 30668660 is 6686603.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 30668660.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057526 + ... + 1057554.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 230668660 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 30668660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40219200).

30668660 is an abundant number, since it is smaller than the sum of its proper divisors (49769740).

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

30668660 is a wasteful number, since it uses less digits than its factorization.

30668660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 30668660 is about 5537.9292158712. The cubic root of 30668660 is about 313.0148441279.

The spelling of 30668660 in words is "thirty million, six hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 23 29 38 44 46 55 58 76 92 95 110 115 116 121 145 190 209 220 230 242 253 290 319 380 418 437 460 484 506 551 580 605 638 667 836 874 1012 1045 1102 1210 1265 1276 1334 1595 1748 2090 2185 2204 2299 2420 2530 2668 2755 2783 3190 3335 3509 4180 4370 4598 4807 5060 5510 5566 6061 6380 6670 7018 7337 8740 9196 9614 11020 11132 11495 12122 12673 13340 13915 14036 14674 17545 19228 22990 24035 24244 25346 27830 29348 30305 35090 36685 45980 48070 50692 52877 55660 60610 63365 66671 70180 73370 80707 96140 105754 121220 126730 133342 139403 146740 161414 211508 253460 264385 266684 278806 322828 333355 403535 528770 557612 666710 697015 807070 1057540 1333420 1394030 1533433 1614140 2788060 3066866 6133732 7667165 15334330 30668660