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1045111056 = 243116133229
BaseRepresentation
bin111110010010110…
…010000100010000
32200211120010211220
4332102302010100
54120022023211
6251412205040
734620204003
oct7622620420
92624503756
101045111056
11496a35450
12252009780
131386a3212
149cb3153a
1561b42806
hex3e4b2110

1045111056 has 80 divisors (see below), whose sum is σ = 2951031360. Its totient is φ = 316085760.

The previous prime is 1045111049. The next prime is 1045111097. The reversal of 1045111056 is 6501115401.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 322050 + ... + 325278.

It is an arithmetic number, because the mean of its divisors is an integer number (36887892).

Almost surely, 21045111056 is an apocalyptic number.

1045111056 is a gapful number since it is divisible by the number (16) 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 1045111056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475515680).

1045111056 is an abundant number, since it is smaller than the sum of its proper divisors (1905920304).

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

1045111056 is a wasteful number, since it uses less digits than its factorization.

1045111056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3864 (or 3858 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

The square root of 1045111056 is about 32328.1774308420. The cubic root of 1045111056 is about 1014.8164085101.

Adding to 1045111056 its reverse (6501115401), we get a palindrome (7546226457).

It can be divided in two parts, 1045 and 111056, that added together give a triangular number (112101 = T473).

The spelling of 1045111056 in words is "one billion, forty-five million, one hundred eleven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 613 1226 1839 2452 3229 3678 4904 6458 6743 7356 9687 9808 12916 13486 14712 19374 20229 25832 26972 29424 35519 38748 40458 51664 53944 71038 77496 80916 106557 107888 142076 154992 161832 213114 284152 323664 426228 568304 852456 1704912 1979377 3958754 5938131 7917508 11876262 15835016 21773147 23752524 31670032 43546294 47505048 65319441 87092588 95010096 130638882 174185176 261277764 348370352 522555528 1045111056