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30928950 = 232521317311
BaseRepresentation
bin111010111111…
…1000000110110
32011012100112200
41311333000312
530404211300
63022525330
7523614603
oct165770066
964170480
1030928950
1116505418
12a436846
13653ba70
1441716aa
152aae200
hex1d7f036

30928950 has 144 divisors (see below), whose sum is σ = 95056416. Its totient is φ = 7142400.

The previous prime is 30928939. The next prime is 30928981. The reversal of 30928950 is 5982903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 99295 + ... + 99605.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 230928950 is an apocalyptic number.

30928950 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30928950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47528208).

30928950 is an abundant number, since it is smaller than the sum of its proper divisors (64127466).

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

30928950 is a wasteful number, since it uses less digits than its factorization.

30928950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 30928950 is about 5561.3802243688. The cubic root of 30928950 is about 313.8978869283.

It can be divided in two parts, 30928 and 950, that added together give a triangular number (31878 = T252).

The spelling of 30928950 in words is "thirty million, nine hundred twenty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 25 26 30 34 39 45 50 51 65 75 78 85 90 102 117 130 150 153 170 195 221 225 234 255 306 311 325 390 425 442 450 510 585 622 650 663 765 850 933 975 1105 1170 1275 1326 1530 1555 1866 1950 1989 2210 2550 2799 2925 3110 3315 3825 3978 4043 4665 5287 5525 5598 5850 6630 7650 7775 8086 9330 9945 10574 11050 12129 13995 15550 15861 16575 19890 20215 23325 24258 26435 27990 31722 33150 36387 40430 46650 47583 49725 52870 60645 68731 69975 72774 79305 95166 99450 101075 121290 132175 137462 139950 158610 181935 202150 206193 237915 264350 303225 343655 363870 396525 412386 475830 606450 618579 687310 793050 909675 1030965 1189575 1237158 1718275 1819350 2061930 2379150 3092895 3436550 5154825 6185790 10309650 15464475 30928950