Search a number
-
+
1126980288 = 263271947313
BaseRepresentation
bin100001100101100…
…0101101011000000
32220112121112022200
41003023011223000
54302001332123
6303455033200
736633113550
oct10313055300
92815545280
101126980288
11529172a75
1227550b800
1314c639355
14a9963160
1568e15143
hex432c5ac0

1126980288 has 336 divisors, whose sum is σ = 3981419520. Its totient is φ = 297603072.

The previous prime is 1126980263. The next prime is 1126980319. The reversal of 1126980288 is 8820896211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3600420 + ... + 3600732.

Almost surely, 21126980288 is an apocalyptic number.

1126980288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1126980288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990709760).

1126980288 is an abundant number, since it is smaller than the sum of its proper divisors (2854439232).

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

1126980288 is a wasteful number, since it uses less digits than its factorization.

1126980288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 1126980288 is about 33570.5270736103. The cubic root of 1126980288 is about 1040.6518004839.

The spelling of 1126980288 in words is "one billion, one hundred twenty-six million, nine hundred eighty thousand, two hundred eighty-eight".