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7142120 = 2352947131
BaseRepresentation
bin11011001111101011101000
3111102212010222
4123033223220
53312021440
6413025212
7114464336
oct33175350
914385128
107142120
114038a87
122485208
131630b0b
14d3cb56
159612b5
hex6cfae8

7142120 has 64 divisors (see below), whose sum is σ = 17107200. Its totient is φ = 2679040.

The previous prime is 7142117. The next prime is 7142129. The reversal of 7142120 is 212417.

7142120 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (7142129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54455 + ... + 54585.

It is an arithmetic number, because the mean of its divisors is an integer number (267300).

Almost surely, 27142120 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 7142120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553600).

7142120 is an abundant number, since it is smaller than the sum of its proper divisors (9965080).

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

7142120 is a wasteful number, since it uses less digits than its factorization.

7142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 17.

The square root of 7142120 is about 2672.4745087652. The cubic root of 7142120 is about 192.5790533802.

Adding to 7142120 its reverse (212417), we get a palindrome (7354537).

The spelling of 7142120 in words is "seven million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 47 58 94 116 131 145 188 232 235 262 290 376 470 524 580 655 940 1048 1160 1310 1363 1880 2620 2726 3799 5240 5452 6157 6815 7598 10904 12314 13630 15196 18995 24628 27260 30392 30785 37990 49256 54520 61570 75980 123140 151960 178553 246280 357106 714212 892765 1428424 1785530 3571060 7142120