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1114650432 = 26327273541
BaseRepresentation
bin100001001110000…
…0011011101000000
32212200102002221100
41002130003131000
54240322303212
6302334454400
736423241500
oct10234033500
92780362840
101114650432
11522211405
12271364400
13149c1018c
14a8073a00
1567ccbbdc
hex42703740

1114650432 has 252 divisors, whose sum is σ = 3774443556. Its totient is φ = 313528320.

The previous prime is 1114650323. The next prime is 1114650437. The reversal of 1114650432 is 2340564111.

It is a happy number.

1114650432 is a `hidden beast` number, since 1 + 1 + 1 + 4 + 650 + 4 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 537497856 + 577152576 = 23184^2 + 24024^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a junction number, because it is equal to n+sod(n) for n = 1114650396 and 1114650405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114650437) 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 35 ways as a sum of consecutive naturals, for example, 2060082 + ... + 2060622.

Almost surely, 21114650432 is an apocalyptic number.

1114650432 is a gapful number since it is divisible by the number (12) 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 1114650432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1887221778).

1114650432 is an abundant number, since it is smaller than the sum of its proper divisors (2659793124).

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

1114650432 is a wasteful number, since it uses less digits than its factorization.

1114650432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1114650432 is about 33386.3809359445. The cubic root of 1114650432 is about 1036.8427522952.

The spelling of 1114650432 in words is "one billion, one hundred fourteen million, six hundred fifty thousand, four hundred thirty-two".