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1110004140 = 22357101137191
BaseRepresentation
bin100001000101001…
…0101000110101100
32212100200001102110
41002022111012230
54233130113030
6302051124020
736335610450
oct10212250654
92770601373
101110004140
1151a6285a3
1226b8a3610
13148c743ab
14a75c4660
15676b01b0
hex422951ac

1110004140 has 192 divisors, whose sum is σ = 3632283648. Its totient is φ = 248064000.

The previous prime is 1110004121. The next prime is 1110004141. The reversal of 1110004140 is 414000111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1110004141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5811445 + ... + 5811635.

It is an arithmetic number, because the mean of its divisors is an integer number (18918144).

Almost surely, 21110004140 is an apocalyptic number.

1110004140 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 1110004140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816141824).

1110004140 is an abundant number, since it is smaller than the sum of its proper divisors (2522279508).

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

1110004140 is a wasteful number, since it uses less digits than its factorization.

1110004140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 1110004140 is about 33316.7246289307. The cubic root of 1110004140 is about 1035.4000926994.

Adding to 1110004140 its reverse (414000111), we get a palindrome (1524004251).

The spelling of 1110004140 in words is "one billion, one hundred ten million, four thousand, one hundred forty".