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1404144 = 243272199
BaseRepresentation
bin101010110110011110000
32122100010100
411112303300
5324413034
650032400
714635500
oct5266360
92570110
101404144
11879a55
12578700
133a2171
14287a00
151cb099
hex156cf0

1404144 has 90 divisors (see below), whose sum is σ = 4594200. Its totient is φ = 399168.

The previous prime is 1404133. The next prime is 1404163. The reversal of 1404144 is 4414041.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6957 + ... + 7155.

21404144 is an apocalyptic number.

1404144 is a gapful number since it is divisible by the number (14) 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 1404144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2297100).

1404144 is an abundant number, since it is smaller than the sum of its proper divisors (3190056).

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

1404144 is a wasteful number, since it uses less digits than its factorization.

1404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

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

The square root of 1404144 is about 1184.9658222919. The cubic root of 1404144 is about 111.9791627902.

Adding to 1404144 its reverse (4414041), we get a palindrome (5818185).

The spelling of 1404144 in words is "one million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 199 252 294 336 392 398 441 504 588 597 784 796 882 1008 1176 1194 1393 1592 1764 1791 2352 2388 2786 3184 3528 3582 4179 4776 5572 7056 7164 8358 9552 9751 11144 12537 14328 16716 19502 22288 25074 28656 29253 33432 39004 50148 58506 66864 78008 87759 100296 117012 156016 175518 200592 234024 351036 468048 702072 1404144