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7987056 = 2437112161
BaseRepresentation
bin11110011101111101110000
3120000210011220
4132131331300
54021041211
6443105040
7124613610
oct36357560
916023156
107987056
114565880
122812180
13186858c
1410bca40
15a7b806
hex79df70

7987056 has 80 divisors (see below), whose sum is σ = 25736448. Its totient is φ = 2073600.

The previous prime is 7987051. The next prime is 7987069. The reversal of 7987056 is 6507897.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7986999 and 7987017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7987051) 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, 2616 + ... + 4776.

Almost surely, 27987056 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 7987056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12868224).

7987056 is an abundant number, since it is smaller than the sum of its proper divisors (17749392).

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

7987056 is a wasteful number, since it uses less digits than its factorization.

7987056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 7987056 is about 2826.1380008768. The cubic root of 7987056 is about 199.8920751049.

The spelling of 7987056 in words is "seven million, nine hundred eighty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 2161 3696 4322 6483 8644 12966 15127 17288 23771 25932 30254 34576 45381 47542 51864 60508 71313 90762 95084 103728 121016 142626 166397 181524 190168 242032 285252 332794 363048 380336 499191 570504 665588 726096 998382 1141008 1331176 1996764 2662352 3993528 7987056