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30990096 = 24322941181
BaseRepresentation
bin111011000110…
…1111100010000
32011022110102100
41312031330100
530413140341
63024120400
7524261064
oct166157420
964273370
1030990096
1116547355
12a466100
136560847
144189aa4
152ac23b6
hex1d8df10

30990096 has 120 divisors (see below), whose sum is σ = 92415960. Its totient is φ = 9676800.

The previous prime is 30990077. The next prime is 30990097. The reversal of 30990096 is 69009903.

It can be written as a sum of positive squares in 4 ways, for example, as 1440000 + 29550096 = 1200^2 + 5436^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 30990096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30990097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171126 + ... + 171306.

It is an arithmetic number, because the mean of its divisors is an integer number (770133).

Almost surely, 230990096 is an apocalyptic number.

30990096 is a gapful number since it is divisible by the number (36) 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 30990096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46207980).

30990096 is an abundant number, since it is smaller than the sum of its proper divisors (61425864).

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

30990096 is a wasteful number, since it uses less digits than its factorization.

30990096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 256 counting only the distinct ones).

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

The square root of 30990096 is about 5566.8748863254. The cubic root of 30990096 is about 314.1046076608.

Adding to 30990096 its reverse (69009903), we get a palindrome (99999999).

The spelling of 30990096 in words is "thirty million, nine hundred ninety thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 82 87 116 123 144 164 174 181 232 246 261 328 348 362 369 464 492 522 543 656 696 724 738 984 1044 1086 1189 1392 1448 1476 1629 1968 2088 2172 2378 2896 2952 3258 3567 4176 4344 4756 5249 5904 6516 7134 7421 8688 9512 10498 10701 13032 14268 14842 15747 19024 20996 21402 22263 26064 28536 29684 31494 41992 42804 44526 47241 57072 59368 62988 66789 83984 85608 89052 94482 118736 125976 133578 171216 178104 188964 215209 251952 267156 356208 377928 430418 534312 645627 755856 860836 1068624 1291254 1721672 1936881 2582508 3443344 3873762 5165016 7747524 10330032 15495048 30990096