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4140180 = 22335111741
BaseRepresentation
bin1111110010110010010100
321210100021000
433302302110
52024441210
6224423300
750122332
oct17626224
97710230
104140180
112378640
121477b30
13b1c615
1479ab52
1556bac0
hex3f2c94

4140180 has 192 divisors, whose sum is σ = 15240960. Its totient is φ = 921600.

The previous prime is 4140173. The next prime is 4140211. The reversal of 4140180 is 810414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 100960 + ... + 101000.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

Almost surely, 24140180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4140180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4140180 is an abundant number, since it is smaller than the sum of its proper divisors (11100780).

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

4140180 is a wasteful number, since it uses less digits than its factorization.

4140180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 4140180 is about 2034.7432270436. The cubic root of 4140180 is about 160.5732044436.

Adding to 4140180 its reverse (810414), we get a palindrome (4950594).

The spelling of 4140180 in words is "four million, one hundred forty thousand, one hundred eighty".