Search a number
-
+
7023120 = 2435132251
BaseRepresentation
bin11010110010101000010000
3111012210220120
4122302220100
53244214440
6410310240
7113460366
oct32625020
914183816
107023120
113a67635
122428380
1315bb8c0
14d0b636
1593add0
hex6b2a10

7023120 has 80 divisors (see below), whose sum is σ = 23456832. Its totient is φ = 1728000.

The previous prime is 7023109. The next prime is 7023131. The reversal of 7023120 is 213207.

It is an interprime number because it is at equal distance from previous prime (7023109) and next prime (7023131).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 7023120.

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, 1995 + ... + 4245.

Almost surely, 27023120 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 7023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11728416).

7023120 is an abundant number, since it is smaller than the sum of its proper divisors (16433712).

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

7023120 is a wasteful number, since it uses less digits than its factorization.

7023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 7023120 is about 2650.1169785502. The cubic root of 7023120 is about 191.5034914501.

Adding to 7023120 its reverse (213207), we get a palindrome (7236327).

The spelling of 7023120 in words is "seven million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 2251 3120 4502 6753 9004 11255 13506 18008 22510 27012 29263 33765 36016 45020 54024 58526 67530 87789 90040 108048 117052 135060 146315 175578 180080 234104 270120 292630 351156 438945 468208 540240 585260 702312 877890 1170520 1404624 1755780 2341040 3511560 7023120