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1119407040 = 26345192273
BaseRepresentation
bin100001010111000…
…1100101111000000
32220000100202210000
41002232030233000
54243032011130
6303024440000
736511542243
oct10256145700
92800322700
101119407040
11524970094
12272a79000
1314abb723b
14a895125a
156841b260
hex42b8cbc0

1119407040 has 280 divisors, whose sum is σ = 4193346960. Its totient is φ = 282673152.

The previous prime is 1119406997. The next prime is 1119407057. The reversal of 1119407040 is 407049111.

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

It is a junction number, because it is equal to n+sod(n) for n = 1119406995 and 1119407013.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 491344 + ... + 493616.

Almost surely, 21119407040 is an apocalyptic number.

1119407040 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 1119407040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096673480).

1119407040 is an abundant number, since it is smaller than the sum of its proper divisors (3073939920).

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

1119407040 is a wasteful number, since it uses less digits than its factorization.

1119407040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1119407040 is about 33457.5408540437. The cubic root of 1119407040 is about 1038.3155177022.

The spelling of 1119407040 in words is "one billion, one hundred nineteen million, four hundred seven thousand, forty".