Search a number
-
+
1114113420 = 223357359821
BaseRepresentation
bin100001001101000…
…0000010110001100
32212122101211022000
41002122000112030
54240203112140
6302315152300
736415544040
oct10232002614
92778354260
101114113420
115219849a2
12271145690
13149a82914
14a7d74020
1567c22a30
hex4268058c

1114113420 has 192 divisors, whose sum is σ = 3977164800. Its totient is φ = 253635840.

The previous prime is 1114113419. The next prime is 1114113421. The reversal of 1114113420 is 243114111.

It is an interprime number because it is at equal distance from previous prime (1114113419) and next prime (1114113421).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1114113393 and 1114113402.

It is not an unprimeable number, because it can be changed into a prime (1114113421) 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, 1356610 + ... + 1357430.

It is an arithmetic number, because the mean of its divisors is an integer number (20714400).

Almost surely, 21114113420 is an apocalyptic number.

1114113420 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 1114113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988582400).

1114113420 is an abundant number, since it is smaller than the sum of its proper divisors (2863051380).

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

1114113420 is a wasteful number, since it uses less digits than its factorization.

1114113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1114113420 is about 33378.3375859254. The cubic root of 1114113420 is about 1036.6762168430.

Adding to 1114113420 its reverse (243114111), we get a palindrome (1357227531).

The spelling of 1114113420 in words is "one billion, one hundred fourteen million, one hundred thirteen thousand, four hundred twenty".