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1114610640 = 2435111347691
BaseRepresentation
bin100001001101111…
…1001101111010000
32212200100002100120
41002123321233100
54240320020030
6302333550240
736423014463
oct10233715720
92780302316
101114610640
11522194520
12271345380
13149bc8030
14a80632da
1567cc0010
hex426f9bd0

1114610640 has 320 divisors, whose sum is σ = 4151734272. Its totient is φ = 243763200.

The previous prime is 1114610603. The next prime is 1114610641. The reversal of 1114610640 is 460164111.

1114610640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1114610640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114610641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1612695 + ... + 1613385.

Almost surely, 21114610640 is an apocalyptic number.

1114610640 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 1114610640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075867136).

1114610640 is an abundant number, since it is smaller than the sum of its proper divisors (3037123632).

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

1114610640 is a wasteful number, since it uses less digits than its factorization.

1114610640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 772 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1114610640 is about 33385.7849990082. The cubic root of 1114610640 is about 1036.8304140360.

Adding to 1114610640 its reverse (460164111), we get a palindrome (1574774751).

The spelling of 1114610640 in words is "one billion, one hundred fourteen million, six hundred ten thousand, six hundred forty".