Search a number
-
+
1116933144 = 2332910115889
BaseRepresentation
bin100001010010011…
…0000110000011000
32212211201002020020
41002210300300120
54241413330034
6302455430440
736451526565
oct10244606030
92784632206
101116933144
11523530448
12272085420
1314a52c1b2
14a84a986c
15680cd249
hex42930c18

1116933144 has 64 divisors (see below), whose sum is σ = 2917404000. Its totient is φ = 355891200.

The previous prime is 1116933143. The next prime is 1116933149. The reversal of 1116933144 is 4413396111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1116933143) 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, 62352 + ... + 78240.

Almost surely, 21116933144 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 1116933144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458702000).

1116933144 is an abundant number, since it is smaller than the sum of its proper divisors (1800470856).

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

1116933144 is a wasteful number, since it uses less digits than its factorization.

1116933144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16028 (or 16024 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 1116933144 is about 33420.5497261790. The cubic root of 1116933144 is about 1037.5500591127.

The spelling of 1116933144 in words is "one billion, one hundred sixteen million, nine hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 101 116 174 202 232 303 348 404 606 696 808 1212 2424 2929 5858 8787 11716 15889 17574 23432 31778 35148 47667 63556 70296 95334 127112 190668 381336 460781 921562 1382343 1604789 1843124 2764686 3209578 3686248 4814367 5529372 6419156 9628734 11058744 12838312 19257468 38514936 46538881 93077762 139616643 186155524 279233286 372311048 558466572 1116933144