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2526030 = 23251317127
BaseRepresentation
bin1001101000101101001110
311202100001200
421220231032
51121313110
6130050330
730320343
oct11505516
94670050
102526030
111475931
12a199a6
136a59c0
1449a7ca
1534d6c0
hex268b4e

2526030 has 96 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 580608.

The previous prime is 2526023. The next prime is 2526037. The reversal of 2526030 is 306252.

2526030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2526023) and next prime (2526037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2525994 and 2526012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2526037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19827 + ... + 19953.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

22526030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2526030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3773952).

2526030 is an abundant number, since it is smaller than the sum of its proper divisors (5021874).

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

2526030 is a wasteful number, since it uses less digits than its factorization.

2526030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2526030 is about 1589.3489233016. The cubic root of 2526030 is about 136.1902973287.

The spelling of 2526030 in words is "two million, five hundred twenty-six thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 127 130 153 170 195 221 234 254 255 306 381 390 442 510 585 635 663 762 765 1105 1143 1170 1270 1326 1530 1651 1905 1989 2159 2210 2286 3302 3315 3810 3978 4318 4953 5715 6477 6630 8255 9906 9945 10795 11430 12954 14859 16510 19431 19890 21590 24765 28067 29718 32385 38862 49530 56134 64770 74295 84201 97155 140335 148590 168402 194310 252603 280670 421005 505206 842010 1263015 2526030