Search a number
-
+
1110842964 = 2233711312139
BaseRepresentation
bin100001000110110…
…0001111001010100
32212102020200002000
41002031201321110
54233333433324
6302121115300
736346003140
oct10215417124
92772220060
101110842964
11520050840
12270028b30
131491a913a
14a7762220
15677c89c9
hex42361e54

1110842964 has 288 divisors, whose sum is σ = 3736857600. Its totient is φ = 277214400.

The previous prime is 1110842963. The next prime is 1110842969. The reversal of 1110842964 is 4692480111.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110842963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7991607 + ... + 7991745.

It is an arithmetic number, because the mean of its divisors is an integer number (12975200).

Almost surely, 21110842964 is an apocalyptic number.

1110842964 is a gapful number since it is divisible by the number (14) 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 1110842964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868428800).

1110842964 is an abundant number, since it is smaller than the sum of its proper divisors (2626014636).

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

1110842964 is a wasteful number, since it uses less digits than its factorization.

1110842964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1110842964 is about 33329.3108839652. The cubic root of 1110842964 is about 1035.6608424058.

The spelling of 1110842964 in words is "one billion, one hundred ten million, eight hundred forty-two thousand, nine hundred sixty-four".