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1120981288 = 237671092741
BaseRepresentation
bin100001011010000…
…1101000100101000
32220010022202020111
41002310031010220
54243432400123
6303122304104
736531120010
oct10264150450
92803282214
101120981288
11525845919
122734b8034
1314b31894b
14a8c40c40
156862c90d
hex42d0d128

1120981288 has 64 divisors (see below), whose sum is σ = 2461219200. Its totient is φ = 468737280.

The previous prime is 1120981223. The next prime is 1120981289. The reversal of 1120981288 is 8821890211.

It is a super-2 number, since 2×11209812882 = 2513198096092277888, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1120981288.

It is not an unprimeable number, because it can be changed into a prime (1120981289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407598 + ... + 410338.

It is an arithmetic number, because the mean of its divisors is an integer number (38456550).

Almost surely, 21120981288 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 1120981288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230609600).

1120981288 is an abundant number, since it is smaller than the sum of its proper divisors (1340237912).

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

1120981288 is a wasteful number, since it uses less digits than its factorization.

1120981288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930 (or 2926 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 40.

The square root of 1120981288 is about 33481.0586451504. The cubic root of 1120981288 is about 1038.8020254169.

The spelling of 1120981288 in words is "one billion, one hundred twenty million, nine hundred eighty-one thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 56 67 109 134 218 268 436 469 536 763 872 938 1526 1876 2741 3052 3752 5482 6104 7303 10964 14606 19187 21928 29212 38374 51121 58424 76748 102242 153496 183647 204484 298769 367294 408968 597538 734588 1195076 1285529 1469176 2091383 2390152 2571058 4182766 5142116 8365532 10284232 16731064 20017523 40035046 80070092 140122661 160140184 280245322 560490644 1120981288