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988012620 = 223357261379
BaseRepresentation
bin111010111000111…
…110000001001100
32112212010020112000
4322320332001030
54010412400440
6242012312300
733324653160
oct7270760114
92485106460
10988012620
11467786561
12236a72690
13129900b6a
149530aca0
155bb14730
hex3ae3e04c

988012620 has 96 divisors (see below), whose sum is σ = 3512947200. Its totient is φ = 225830592.

The previous prime is 988012577. The next prime is 988012651. The reversal of 988012620 is 26210889.

988012620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 126910 + ... + 134469.

It is an arithmetic number, because the mean of its divisors is an integer number (36593200).

Almost surely, 2988012620 is an apocalyptic number.

988012620 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

988012620 is an abundant number, since it is smaller than the sum of its proper divisors (2524934580).

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

988012620 is a wasteful number, since it uses less digits than its factorization.

988012620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261404 (or 261396 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 988012620 is about 31432.6680382051. The cubic root of 988012620 is about 995.9881331145.

It can be divided in two parts, 9880 and 12620, that added together give a square (22500 = 1502).

The spelling of 988012620 in words is "nine hundred eighty-eight million, twelve thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 261379 522758 784137 1045516 1306895 1568274 1829653 2352411 2613790 3136548 3659306 3920685 4704822 5227580 5488959 7057233 7318612 7841370 9148265 9409644 10977918 11762055 14114466 15682740 16466877 18296530 21955836 23524110 27444795 28228932 32933754 35286165 36593060 47048220 49400631 54889590 65867508 70572330 82334385 98801262 109779180 141144660 164668770 197602524 247003155 329337540 494006310 988012620