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4144140 = 223257111323
BaseRepresentation
bin1111110011110000001100
321210112200200
433303300030
52030103030
6224453500
750140020
oct17636014
97715620
104144140
112380610
12147a290
13b21370
1479c380
1556cd60
hex3f3c0c

4144140 has 288 divisors, whose sum is σ = 17611776. Its totient is φ = 760320.

The previous prime is 4144121. The next prime is 4144159. The reversal of 4144140 is 414414.

It is an interprime number because it is at equal distance from previous prime (4144121) and next prime (4144159).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 180169 + ... + 180191.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

Almost surely, 24144140 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 4144140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805888).

4144140 is an abundant number, since it is smaller than the sum of its proper divisors (13467636).

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

4144140 is a wasteful number, since it uses less digits than its factorization.

4144140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4144140 is about 2035.7160902248. The cubic root of 4144140 is about 160.6243831576.

Adding to 4144140 its reverse (414414), we get a palindrome (4558554).

It can be divided in two parts, 414 and 4140, that added together give a palindrome (4554).

The spelling of 4144140 in words is "four million, one hundred forty-four thousand, one hundred forty".