Search a number
-
+
1114023960 = 2332571953439
BaseRepresentation
bin100001001100110…
…1010100000011000
32212122020021120200
41002121222200120
54240142231320
6302313222200
736415022160
oct10231524030
92778207520
101114023960
11521923765
12271101960
13149a50c9a
14a7d4d5a0
1567c06290
hex4266a818

1114023960 has 384 divisors, whose sum is σ = 4447872000. Its totient is φ = 236141568.

The previous prime is 1114023959. The next prime is 1114023961. The reversal of 1114023960 is 693204111.

It is an interprime number because it is at equal distance from previous prime (1114023959) and next prime (1114023961).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114023961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2537421 + ... + 2537859.

It is an arithmetic number, because the mean of its divisors is an integer number (11583000).

Almost surely, 21114023960 is an apocalyptic number.

1114023960 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 1114023960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223936000).

1114023960 is an abundant number, since it is smaller than the sum of its proper divisors (3333848040).

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

1114023960 is a wasteful number, since it uses less digits than its factorization.

1114023960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1114023960 is about 33376.9974683164. The cubic root of 1114023960 is about 1036.6484687594.

The spelling of 1114023960 in words is "one billion, one hundred fourteen million, twenty-three thousand, nine hundred sixty".