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30993750 = 232551929
BaseRepresentation
bin111011000111…
…0110101010110
32011022122102200
41312032311112
530413300000
63024145330
7524304534
oct166166526
964278380
1030993750
111654a077
12a468246
1365623c8
14418b154
152ac3500
hex1d8ed56

30993750 has 144 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 7560000.

The previous prime is 30993749. The next prime is 30993763. The reversal of 30993750 is 5739903.

It is a super-2 number, since 2×309937502 = 1921225078125000, which contains 22 as substring.

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, 1068736 + ... + 1068764.

It is an arithmetic number, because the mean of its divisors is an integer number (634725).

Almost surely, 230993750 is an apocalyptic number.

30993750 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 30993750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45700200).

30993750 is an abundant number, since it is smaller than the sum of its proper divisors (60406650).

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

30993750 is a wasteful number, since it uses less digits than its factorization.

30993750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 25515, while the sum is 36.

The square root of 30993750 is about 5567.2030679687. The cubic root of 30993750 is about 314.1169523911.

The spelling of 30993750 in words is "thirty million, nine hundred ninety-three thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 29 30 38 45 50 57 58 75 87 90 95 114 125 145 150 171 174 190 225 250 261 285 290 342 375 435 450 475 522 551 570 625 725 750 855 870 950 1102 1125 1250 1305 1425 1450 1653 1710 1875 2175 2250 2375 2610 2755 2850 3125 3306 3625 3750 4275 4350 4750 4959 5510 5625 6250 6525 7125 7250 8265 8550 9375 9918 10875 11250 11875 13050 13775 14250 16530 18125 18750 21375 21750 23750 24795 27550 28125 32625 35625 36250 41325 42750 49590 54375 56250 59375 65250 68875 71250 82650 90625 106875 108750 118750 123975 137750 163125 178125 181250 206625 213750 247950 271875 326250 344375 356250 413250 534375 543750 619875 688750 815625 1033125 1068750 1239750 1631250 1721875 2066250 3099375 3443750 5165625 6198750 10331250 15496875 30993750