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988030116 = 2233291671889
BaseRepresentation
bin111010111001000…
…010010010100100
32112212011010112000
4322321002102210
54010413430431
6242012525300
733325055163
oct7271022244
92485133460
10988030116
11467798717
12236a80830
13129908b08
14953133da
155bb199e6
hex3ae424a4

988030116 has 96 divisors (see below), whose sum is σ = 2667168000. Its totient is φ = 315915264.

The previous prime is 988030097. The next prime is 988030117. The reversal of 988030116 is 611030889.

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

It is not an unprimeable number, because it can be changed into a prime (988030117) 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 31 ways as a sum of consecutive naturals, for example, 522100 + ... + 523988.

It is an arithmetic number, because the mean of its divisors is an integer number (27783000).

Almost surely, 2988030116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988030116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333584000).

988030116 is an abundant number, since it is smaller than the sum of its proper divisors (1679137884).

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

988030116 is a wasteful number, since it uses less digits than its factorization.

988030116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 988030116 is about 31432.9463461509. The cubic root of 988030116 is about 995.9940121574.

The spelling of 988030116 in words is "nine hundred eighty-eight million, thirty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 167 174 261 334 348 501 522 668 783 1002 1044 1503 1566 1889 2004 3006 3132 3778 4509 4843 5667 6012 7556 9018 9686 11334 14529 17001 18036 19372 22668 29058 34002 43587 51003 54781 58116 68004 87174 102006 109562 130761 164343 174348 204012 219124 261522 315463 328686 493029 523044 630926 657372 946389 986058 1261852 1479087 1892778 1972116 2839167 2958174 3785556 5678334 5916348 8517501 9148427 11356668 17035002 18296854 27445281 34070004 36593708 54890562 82335843 109781124 164671686 247007529 329343372 494015058 988030116