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1119095040 = 28357173179
BaseRepresentation
bin100001010110100…
…0000100100000000
32212222202220210110
41002231000210000
54242442020130
6303014031320
736506102520
oct10255004400
92788686713
101119095040
11524777738
12272948540
1314ab0821b
14a88ad680
15683a8ab0
hex42b40900

1119095040 has 576 divisors, whose sum is σ = 4521000960. Its totient is φ = 230031360.

The previous prime is 1119095027. The next prime is 1119095069. The reversal of 1119095040 is 405909111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1119094989 and 1119095007.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14165721 + ... + 14165799.

It is an arithmetic number, because the mean of its divisors is an integer number (7848960).

Almost surely, 21119095040 is an apocalyptic number.

1119095040 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 1119095040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2260500480).

1119095040 is an abundant number, since it is smaller than the sum of its proper divisors (3401905920).

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

1119095040 is a wasteful number, since it uses less digits than its factorization.

1119095040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 30.

The square root of 1119095040 is about 33452.8779031042. The cubic root of 1119095040 is about 1038.2190426543.

The spelling of 1119095040 in words is "one billion, one hundred nineteen million, ninety-five thousand, forty".