Search a number
-
+
7410144 = 253711027
BaseRepresentation
bin11100010001000111100000
3111221110210210
4130101013200
53344111034
6422454120
7116661630
oct34210740
914843723
107410144
114201395
122594340
1316c5b01
14dac6c0
159b58e9
hex7111e0

7410144 has 48 divisors (see below), whose sum is σ = 22232448. Its totient is φ = 2116992.

The previous prime is 7410131. The next prime is 7410149. The reversal of 7410144 is 4410147.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 7410144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7410149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4842 + ... + 6185.

It is an arithmetic number, because the mean of its divisors is an integer number (463176).

Almost surely, 27410144 is an apocalyptic number.

It is an amenable number.

7410144 is an abundant number, since it is smaller than the sum of its proper divisors (14822304).

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

7410144 is a wasteful number, since it uses less digits than its factorization.

7410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11047 (or 11039 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 7410144 is about 2722.1579674956. The cubic root of 7410144 is about 194.9585184611.

The spelling of 7410144 in words is "seven million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 11027 22054 33081 44108 66162 77189 88216 132324 154378 176432 231567 264648 308756 352864 463134 529296 617512 926268 1058592 1235024 1852536 2470048 3705072 7410144