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7286130 = 2325731109
BaseRepresentation
bin11011110010110101110010
3111201011200200
4123302311302
53331124010
6420100030
7115634235
oct33626562
914634620
107286130
1141271a5
122534616
131681527
14d7941c
1598dcc0
hex6f2d72

7286130 has 48 divisors (see below), whose sum is σ = 19220760. Its totient is φ = 1914624.

The previous prime is 7286129. The next prime is 7286131. The reversal of 7286130 is 316827.

It is an interprime number because it is at equal distance from previous prime (7286129) and next prime (7286131).

It can be written as a sum of positive squares in 4 ways, for example, as 3837681 + 3448449 = 1959^2 + 1857^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7286094 and 7286103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7286131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6016 + ... + 7124.

Almost surely, 27286130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7286130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9610380).

7286130 is an abundant number, since it is smaller than the sum of its proper divisors (11934630).

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

7286130 is a wasteful number, since it uses less digits than its factorization.

7286130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7286130 is about 2699.2832381949. The cubic root of 7286130 is about 193.8648046622.

The spelling of 7286130 in words is "seven million, two hundred eighty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 73 90 146 219 365 438 657 730 1095 1109 1314 2190 2218 3285 3327 5545 6570 6654 9981 11090 16635 19962 33270 49905 80957 99810 161914 242871 404785 485742 728613 809570 1214355 1457226 2428710 3643065 7286130