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1288882020 = 223522396329
BaseRepresentation
bin100110011010010…
…1100011101100100
310022211020222202010
41030310230131210
510114423211040
6331521114220
743640213346
oct11464543544
93284228663
101288882020
116015a4158
122bb788970
131770445aa
14c3269296
1578245e80
hex4cd2c764

1288882020 has 48 divisors (see below), whose sum is σ = 3625090560. Its totient is φ = 342157056.

The previous prime is 1288881989. The next prime is 1288882031. The reversal of 1288882020 is 202888821.

It is a super-3 number, since 3×12888820203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1288882020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34785 + ... + 61544.

It is an arithmetic number, because the mean of its divisors is an integer number (75522720).

Almost surely, 21288882020 is an apocalyptic number.

1288882020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1288882020 is an abundant number, since it is smaller than the sum of its proper divisors (2336208540).

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

1288882020 is a wasteful number, since it uses less digits than its factorization.

1288882020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96564 (or 96562 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 39.

The square root of 1288882020 is about 35901.0030500542. The cubic root of 1288882020 is about 1088.2726674319.

The spelling of 1288882020 in words is "one billion, two hundred eighty-eight million, eight hundred eighty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 223 446 669 892 1115 1338 2230 2676 3345 4460 6690 13380 96329 192658 288987 385316 481645 577974 963290 1155948 1444935 1926580 2889870 5779740 21481367 42962734 64444101 85925468 107406835 128888202 214813670 257776404 322220505 429627340 644441010 1288882020