Search a number
-
+
7134048 = 253323359
BaseRepresentation
bin11011001101101101100000
3111102110002000
4123031231200
53311242143
6412524000
7114431655
oct33155540
914373060
107134048
114032a09
122480600
13162a23c
14d39c2c
1595dbd3
hex6cdb60

7134048 has 96 divisors (see below), whose sum is σ = 21772800. Its totient is φ = 2268288.

The previous prime is 7134031. The next prime is 7134079. The reversal of 7134048 is 8404317.

7134048 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19693 + ... + 20051.

It is an arithmetic number, because the mean of its divisors is an integer number (226800).

Almost surely, 27134048 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 7134048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10886400).

7134048 is an abundant number, since it is smaller than the sum of its proper divisors (14638752).

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

7134048 is a wasteful number, since it uses less digits than its factorization.

7134048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7134048 is about 2670.9638709649. The cubic root of 7134048 is about 192.5064752980.

It can be divided in two parts, 713 and 4048, that added together give a square (4761 = 692).

The spelling of 7134048 in words is "seven million, one hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 359 368 414 432 552 621 718 736 828 864 1077 1104 1242 1436 1656 2154 2208 2484 2872 3231 3312 4308 4968 5744 6462 6624 8257 8616 9693 9936 11488 12924 16514 17232 19386 19872 24771 25848 33028 34464 38772 49542 51696 66056 74313 77544 99084 103392 132112 148626 155088 198168 222939 264224 297252 310176 396336 445878 594504 792672 891756 1189008 1783512 2378016 3567024 7134048