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2120402988 = 2233114014451
BaseRepresentation
bin111111001100010…
…1100100000101100
312110202220122002000
41332120230200230
513320310343423
6550223332300
7103355061624
oct17630544054
95422818060
102120402988
11998a04170
124b2151090
1327a3b2832
1416187b884
15c6247843
hex7e62c82c

2120402988 has 96 divisors (see below), whose sum is σ = 6013405440. Its totient is φ = 640800000.

The previous prime is 2120402987. The next prime is 2120403031. The reversal of 2120402988 is 8892040212.

It is a super-2 number, since 2×21204029882 = 8992217663038656288, which contains 22 as substring.

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 (2120402987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474163 + ... + 478613.

It is an arithmetic number, because the mean of its divisors is an integer number (62639640).

Almost surely, 22120402988 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 2120402988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006702720).

2120402988 is an abundant number, since it is smaller than the sum of its proper divisors (3893002452).

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

2120402988 is a wasteful number, since it uses less digits than its factorization.

2120402988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 2120402988 is about 46047.8336949742. The cubic root of 2120402988 is about 1284.7130505338.

The spelling of 2120402988 in words is "two billion, one hundred twenty million, four hundred two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 401 594 802 1188 1203 1604 2406 3609 4411 4451 4812 7218 8822 8902 10827 13233 13353 14436 17644 17804 21654 26466 26706 39699 40059 43308 48961 52932 53412 79398 80118 97922 119097 120177 146883 158796 160236 195844 238194 240354 293766 440649 476388 480708 587532 881298 1321947 1762596 1784851 2643894 3569702 5287788 5354553 7139404 10709106 16063659 19633361 21418212 32127318 39266722 48190977 58900083 64254636 78533444 96381954 117800166 176700249 192763908 235600332 353400498 530100747 706800996 1060201494 2120402988