Search a number
-
+
1112817664 = 214731313
BaseRepresentation
bin100001001010100…
…0100000000000000
32212112221222212001
41002111010000000
54234340131124
6302231313344
736401536240
oct10225040000
92775858761
101112817664
1152117a422
1227081b854
1314971abba
14a7b17b20
1567a68b44
hex42544000

1112817664 has 120 divisors (see below), whose sum is σ = 2633942528. Its totient is φ = 460062720.

The previous prime is 1112817653. The next prime is 1112817677. The reversal of 1112817664 is 4667182111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3555172 + ... + 3555484.

Almost surely, 21112817664 is an apocalyptic number.

1112817664 is a gapful number since it is divisible by the number (14) 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 1112817664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316971264).

1112817664 is an abundant number, since it is smaller than the sum of its proper divisors (1521124864).

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

1112817664 is an frugal number, since it uses more digits than its factorization.

1112817664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 353 counting only the distinct ones).

The product of its digits is 16128, while the sum is 37.

The square root of 1112817664 is about 33358.9218051183. The cubic root of 1112817664 is about 1036.2741630657.

Adding to 1112817664 its reverse (4667182111), we get a palindrome (5779999775).

The spelling of 1112817664 in words is "one billion, one hundred twelve million, eight hundred seventeen thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 112 124 128 217 224 248 256 313 434 448 496 512 626 868 896 992 1024 1252 1736 1792 1984 2048 2191 2504 3472 3584 3968 4096 4382 5008 6944 7168 7936 8192 8764 9703 10016 13888 14336 15872 16384 17528 19406 20032 27776 28672 31744 35056 38812 40064 55552 57344 63488 67921 70112 77624 80128 111104 114688 126976 135842 140224 155248 160256 222208 253952 271684 280448 310496 320512 444416 507904 543368 560896 620992 641024 888832 1086736 1121792 1241984 1282048 1777664 2173472 2243584 2483968 2564096 3555328 4346944 4487168 4967936 5128192 8693888 8974336 9935872 17387776 17948672 19871744 34775552 35897344 39743488 69551104 79486976 139102208 158973952 278204416 556408832 1112817664