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988338120 = 2335711106963
BaseRepresentation
bin111010111010001…
…101011111001000
32112212201210000120
4322322031133020
54011003304440
6242023303240
733330510150
oct7272153710
92485653016
10988338120
11467989070
12236baab20
131299b6073
1495393760
155bb7add0
hex3ae8d7c8

988338120 has 128 divisors (see below), whose sum is σ = 3696675840. Its totient is φ = 205367040.

The previous prime is 988338103. The next prime is 988338121. The reversal of 988338120 is 21833889.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (988338121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44242 + ... + 62721.

It is an arithmetic number, because the mean of its divisors is an integer number (28880280).

Almost surely, 2988338120 is an apocalyptic number.

It is an amenable number.

988338120 is an abundant number, since it is smaller than the sum of its proper divisors (2708337720).

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

988338120 is a wasteful number, since it uses less digits than its factorization.

988338120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106995 (or 106991 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 988338120 is about 31437.8453460157. The cubic root of 988338120 is about 996.0974969477.

It can be divided in two parts, 98833 and 8120, that added together give a triangular number (106953 = T462).

The spelling of 988338120 in words is "nine hundred eighty-eight million, three hundred thirty-eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 106963 213926 320889 427852 534815 641778 748741 855704 1069630 1176593 1283556 1497482 1604445 2139260 2246223 2353186 2567112 2994964 3208890 3529779 3743705 4278520 4492446 4706372 5882965 5989928 6417780 7059558 7487410 8236151 8984892 9412744 11231115 11765930 12835560 14119116 14974820 16472302 17648895 17969784 22462230 23531860 24708453 28238232 29949640 32944604 35297790 41180755 44924460 47063720 49416906 65889208 70595580 82361510 89848920 98833812 123542265 141191160 164723020 197667624 247084530 329446040 494169060 988338120