Search a number
-
+
1119028416 = 263114112923
BaseRepresentation
bin100001010110011…
…0000010011000000
32212222122112101220
41002230300103000
54242432402131
6303012355040
736505404342
oct10254602300
92788575356
101119028416
11524731680
12272915a80
1314aab3abc
14a8893292
1568393e96
hex42b304c0

1119028416 has 112 divisors (see below), whose sum is σ = 3308957568. Its totient is φ = 330803200.

The previous prime is 1119028411. The next prime is 1119028441. The reversal of 1119028416 is 6148209111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1119028411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80131 + ... + 93053.

It is an arithmetic number, because the mean of its divisors is an integer number (29544264).

Almost surely, 21119028416 is an apocalyptic number.

1119028416 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 1119028416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654478784).

1119028416 is an abundant number, since it is smaller than the sum of its proper divisors (2189929152).

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

1119028416 is a wasteful number, since it uses less digits than its factorization.

1119028416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12990 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 1119028416 is about 33451.8820995172. The cubic root of 1119028416 is about 1038.1984391977.

The spelling of 1119028416 in words is "one billion, one hundred nineteen million, twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 64 66 82 88 96 123 132 164 176 192 246 264 328 352 451 492 528 656 704 902 984 1056 1312 1353 1804 1968 2112 2624 2706 3608 3936 5412 7216 7872 10824 12923 14432 21648 25846 28864 38769 43296 51692 77538 86592 103384 142153 155076 206768 284306 310152 413536 426459 529843 568612 620304 827072 852918 1059686 1137224 1240608 1589529 1705836 2119372 2274448 2481216 3179058 3411672 4238744 4548896 5828273 6358116 6823344 8477488 9097792 11656546 12716232 13646688 16954976 17484819 23313092 25432464 27293376 33909952 34969638 46626184 50864928 69939276 93252368 101729856 139878552 186504736 279757104 373009472 559514208 1119028416