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1087008 = 25313267
BaseRepresentation
bin100001001011000100000
32001020002120
410021120200
5234241013
635144240
712145056
oct4113040
92036076
101087008
1168275a
12445080
132c0a00
142041d6
15167123
hex109620

1087008 has 72 divisors (see below), whose sum is σ = 3135888. Its totient is φ = 329472.

The previous prime is 1087001. The next prime is 1087019. The reversal of 1087008 is 8007801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1087001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16191 + ... + 16257.

It is an arithmetic number, because the mean of its divisors is an integer number (43554).

21087008 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 1087008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567944).

1087008 is an abundant number, since it is smaller than the sum of its proper divisors (2048880).

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

1087008 is a wasteful number, since it uses less digits than its factorization.

1087008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 1087008 is about 1042.5967580997. The cubic root of 1087008 is about 102.8199954039.

The spelling of 1087008 in words is "one million, eighty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 67 78 96 104 134 156 169 201 208 268 312 338 402 416 507 536 624 676 804 871 1014 1072 1248 1352 1608 1742 2028 2144 2613 2704 3216 3484 4056 5226 5408 6432 6968 8112 10452 11323 13936 16224 20904 22646 27872 33969 41808 45292 67938 83616 90584 135876 181168 271752 362336 543504 1087008