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1288090116 = 2232293122117
BaseRepresentation
bin100110011000110…
…1011001000000100
310022202202202110100
41030301223020010
510114222340431
6331452124100
743630404525
oct11461531004
93282682410
101288090116
11601103195
122bb466630
13176b28001
14c310084c
157813b4e6
hex4cc6b204

1288090116 has 36 divisors (see below), whose sum is σ = 3267144972. Its totient is φ = 427894464.

The previous prime is 1288090109. The next prime is 1288090117. The reversal of 1288090116 is 6110908821.

It can be written as a sum of positive squares in 2 ways, for example, as 1204367616 + 83722500 = 34704^2 + 9150^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×12880901162 = 3318352293873786912, 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 (1288090117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50511 + ... + 71606.

It is an arithmetic number, because the mean of its divisors is an integer number (90754027).

Almost surely, 21288090116 is an apocalyptic number.

It is an amenable number.

1288090116 is an abundant number, since it is smaller than the sum of its proper divisors (1979054856).

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

1288090116 is a wasteful number, since it uses less digits than its factorization.

1288090116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122420 (or 122415 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1288090116 is about 35889.9723599782. The cubic root of 1288090116 is about 1088.0497393369.

Adding to 1288090116 its reverse (6110908821), we get a palindrome (7398998937).

The spelling of 1288090116 in words is "one billion, two hundred eighty-eight million, ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 10548 122117 244234 366351 488468 732702 1099053 1465404 2198106 4396212 35780281 71560562 107340843 143121124 214681686 322022529 429363372 644045058 1288090116