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1112281632 = 25347115573
BaseRepresentation
bin100001001001100…
…0001001000100000
32212111221202120000
41002103001020200
54234221003012
6302212020000
736364144410
oct10223011040
92774852500
101112281632
11520943720
12270601600
13149590c17
14a7a18640
15679aeddc
hex424c1220

1112281632 has 240 divisors, whose sum is σ = 4079097792. Its totient is φ = 288852480.

The previous prime is 1112281591. The next prime is 1112281693. The reversal of 1112281632 is 2361822111.

1112281632 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 28 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1112281596 and 1112281605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 196798 + ... + 202370.

Almost surely, 21112281632 is an apocalyptic number.

1112281632 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 1112281632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2039548896).

1112281632 is an abundant number, since it is smaller than the sum of its proper divisors (2966816160).

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

1112281632 is a wasteful number, since it uses less digits than its factorization.

1112281632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5596 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1112281632 is about 33350.8865249486. The cubic root of 1112281632 is about 1036.1077490631.

The spelling of 1112281632 in words is "one billion, one hundred twelve million, two hundred eighty-one thousand, six hundred thirty-two".