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930123990 = 2325103269373
BaseRepresentation
bin110111011100001…
…001000011010110
32101211012012020200
4313130021003112
53401102431430
6232143441330
732022631515
oct6734110326
92354165220
10930123990
11438037a14
1221b5b6246
1311a912c33
148b75c67c
15569cc460
hex377090d6

930123990 has 96 divisors (see below), whose sum is σ = 2457449280. Its totient is φ = 244055808.

The previous prime is 930123983. The next prime is 930124051. The reversal of 930123990 is 99321039.

930123990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2493444 + ... + 2493816.

It is an arithmetic number, because the mean of its divisors is an integer number (25598430).

Almost surely, 2930123990 is an apocalyptic number.

930123990 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 930123990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1228724640).

930123990 is an abundant number, since it is smaller than the sum of its proper divisors (1527325290).

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

930123990 is a wasteful number, since it uses less digits than its factorization.

930123990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 36.

The square root of 930123990 is about 30497.9341923351. The cubic root of 930123990 is about 976.1433844649.

The spelling of 930123990 in words is "nine hundred thirty million, one hundred twenty-three thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 103 206 269 309 373 515 538 618 746 807 927 1030 1119 1345 1545 1614 1854 1865 2238 2421 2690 3090 3357 3730 4035 4635 4842 5595 6714 8070 9270 11190 12105 16785 24210 27707 33570 38419 55414 76838 83121 100337 115257 138535 166242 192095 200674 230514 249363 277070 301011 345771 384190 415605 498726 501685 576285 602022 691542 831210 903033 1003370 1152570 1246815 1505055 1728855 1806066 2493630 3010110 3457710 4515165 9030330 10334711 20669422 31004133 51673555 62008266 93012399 103347110 155020665 186024798 310041330 465061995 930123990