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30928680 = 23325531621
BaseRepresentation
bin111010111111…
…0111100101000
32011012100011200
41311332330220
530404204210
63022524200
7523614036
oct165767450
964170150
1030928680
11165051a2
12a436660
13653b8c3
144171556
152aae0c0
hex1d7ef28

30928680 has 96 divisors (see below), whose sum is σ = 102477960. Its totient is φ = 8087040.

The previous prime is 30928663. The next prime is 30928693. The reversal of 30928680 is 8682903.

It can be written as a sum of positive squares in 4 ways, for example, as 29615364 + 1313316 = 5442^2 + 1146^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18270 + ... + 19890.

Almost surely, 230928680 is an apocalyptic number.

30928680 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 30928680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51238980).

30928680 is an abundant number, since it is smaller than the sum of its proper divisors (71549280).

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

30928680 is a wasteful number, since it uses less digits than its factorization.

30928680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 30928680 is about 5561.3559497662. The cubic root of 30928680 is about 313.8969735157.

The spelling of 30928680 in words is "thirty million, nine hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 72 90 106 120 159 180 212 265 318 360 424 477 530 636 795 954 1060 1272 1590 1621 1908 2120 2385 3180 3242 3816 4770 4863 6360 6484 8105 9540 9726 12968 14589 16210 19080 19452 24315 29178 32420 38904 48630 58356 64840 72945 85913 97260 116712 145890 171826 194520 257739 291780 343652 429565 515478 583560 687304 773217 859130 1030956 1288695 1546434 1718260 2061912 2577390 3092868 3436520 3866085 5154780 6185736 7732170 10309560 15464340 30928680