Search a number
-
+
1116314640 = 243257613631
BaseRepresentation
bin100001010001001…
…1001110000010000
32212210112122210200
41002202121300100
54241234032030
6302434255200
736443342430
oct10242316020
92783478720
101116314640
11523148791
12271a27500
1314a37380c
14a83882c0
1568009d60
hex42899c10

1116314640 has 240 divisors, whose sum is σ = 4355959296. Its totient is φ = 250905600.

The previous prime is 1116314623. The next prime is 1116314653. The reversal of 1116314640 is 464136111.

1116314640 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 3 + 14 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305625 + ... + 309255.

Almost surely, 21116314640 is an apocalyptic number.

1116314640 is a gapful number since it is divisible by the number (10) 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 1116314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177979648).

1116314640 is an abundant number, since it is smaller than the sum of its proper divisors (3239644656).

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

1116314640 is a wasteful number, since it uses less digits than its factorization.

1116314640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3718 (or 3709 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1116314640 is about 33411.2950961198. The cubic root of 1116314640 is about 1037.3585085994.

The spelling of 1116314640 in words is "one billion, one hundred sixteen million, three hundred fourteen thousand, six hundred forty".