Search a number
-
+
1112253696 = 28321773389
BaseRepresentation
bin100001001001011…
…1010010100000000
32212111220100020100
41002102322110000
54234214104241
6302211242400
736364000101
oct10222722400
92774810210
101112253696
11520924734
122705a9400
131495812a8
14a7a0c3a8
15679a69b6
hex424ba500

1112253696 has 216 divisors, whose sum is σ = 3450905640. Its totient is φ = 343277568.

The previous prime is 1112253683. The next prime is 1112253739. The reversal of 1112253696 is 6963522111.

1112253696 is a `hidden beast` number, since 1 + 11 + 22 + 536 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 197796096 + 914457600 = 14064^2 + 30240^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1112253696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2859070 + ... + 2859458.

It is an arithmetic number, because the mean of its divisors is an integer number (15976415).

Almost surely, 21112253696 is an apocalyptic number.

1112253696 is a gapful number since it is divisible by the number (16) 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 1112253696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725452820).

1112253696 is an abundant number, since it is smaller than the sum of its proper divisors (2338651944).

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

1112253696 is a wasteful number, since it uses less digits than its factorization.

1112253696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 484 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1112253696 is about 33350.4677028674. The cubic root of 1112253696 is about 1036.0990747167.

It can be divided in two parts, 111225 and 3696, that added together give a square (114921 = 3392).

The spelling of 1112253696 in words is "one billion, one hundred twelve million, two hundred fifty-three thousand, six hundred ninety-six".