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7830396 = 22327223193
BaseRepresentation
bin11101110111101101111100
3112201211021200
4131313231330
54001033041
6435455500
7123362100
oct35675574
915654250
107830396
114469102
122757590
131812192
14107b900
15a4a1b6
hex777b7c

7830396 has 108 divisors (see below), whose sum is σ = 24150672. Its totient is φ = 2128896.

The previous prime is 7830371. The next prime is 7830437. The reversal of 7830396 is 6930387.

It is a super-2 number, since 2×78303962 = 122630203033632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7830396.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40476 + ... + 40668.

Almost surely, 27830396 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 7830396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12075336).

7830396 is an abundant number, since it is smaller than the sum of its proper divisors (16320276).

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

7830396 is a wasteful number, since it uses less digits than its factorization.

7830396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 7830396 is about 2798.2844744593. The cubic root of 7830396 is about 198.5765259782.

Subtracting from 7830396 its reverse (6930387), we obtain a palindrome (900009).

The spelling of 7830396 in words is "seven million, eight hundred thirty thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 193 196 207 252 276 294 322 386 414 441 483 579 588 644 772 828 882 966 1127 1158 1351 1449 1737 1764 1932 2254 2316 2702 2898 3381 3474 4053 4439 4508 5404 5796 6762 6948 8106 8878 9457 10143 12159 13317 13524 16212 17756 18914 20286 24318 26634 28371 31073 37828 39951 40572 48636 53268 56742 62146 79902 85113 93219 113484 124292 159804 170226 186438 217511 279657 340452 372876 435022 559314 652533 870044 1118628 1305066 1957599 2610132 3915198 7830396