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30850920 = 2332517712
BaseRepresentation
bin111010110101…
…1111101101000
32011001101111200
41311223331220
530344212140
63021124200
7523141242
oct165537550
964041450
1030850920
1116461831
12a3b9660
1365123a9
144151092
152a96030
hex1d6bf68

30850920 has 144 divisors (see below), whose sum is σ = 107679780. Its totient is φ = 7633920.

The previous prime is 30850913. The next prime is 30850949. The reversal of 30850920 is 2905803.

It can be written as a sum of positive squares in 2 ways, for example, as 30669444 + 181476 = 5538^2 + 426^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 434485 + ... + 434555.

Almost surely, 230850920 is an apocalyptic number.

30850920 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 30850920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53839890).

30850920 is an abundant number, since it is smaller than the sum of its proper divisors (76828860).

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

30850920 is a wasteful number, since it uses less digits than its factorization.

30850920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 30850920 is about 5554.3604492327. The cubic root of 30850920 is about 313.6336891563.

The spelling of 30850920 in words is "thirty million, eight hundred fifty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 71 72 85 90 102 120 136 142 153 170 180 204 213 255 284 306 340 355 360 408 426 510 568 612 639 680 710 765 852 1020 1065 1207 1224 1278 1420 1530 1704 2040 2130 2414 2556 2840 3060 3195 3621 4260 4828 5041 5112 6035 6120 6390 7242 8520 9656 10082 10863 12070 12780 14484 15123 18105 20164 21726 24140 25205 25560 28968 30246 36210 40328 43452 45369 48280 50410 54315 60492 72420 75615 85697 86904 90738 100820 108630 120984 144840 151230 171394 181476 201640 217260 226845 257091 302460 342788 362952 428485 434520 453690 514182 604920 685576 771273 856970 907380 1028364 1285455 1542546 1713940 1814760 2056728 2570910 3085092 3427880 3856365 5141820 6170184 7712730 10283640 15425460 30850920