Search a number
-
+
8102916 = 223489281
BaseRepresentation
bin11110111010010000000100
3120020200010000
4132322100010
54033243131
6445401300
7125605443
oct36722004
916220100
108102916
114634928
122869230
1318a9233
14110cd5a
15aa0ce6
hex7ba404

8102916 has 60 divisors (see below), whose sum is σ = 21496860. Its totient is φ = 2661120.

The previous prime is 8102903. The next prime is 8102921. The reversal of 8102916 is 6192018.

It can be written as a sum of positive squares in 2 ways, for example, as 3437316 + 4665600 = 1854^2 + 2160^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 8102916.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28696 + ... + 28976.

It is an arithmetic number, because the mean of its divisors is an integer number (358281).

Almost surely, 28102916 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 8102916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748430).

8102916 is an abundant number, since it is smaller than the sum of its proper divisors (13393944).

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

8102916 is a wasteful number, since it uses less digits than its factorization.

8102916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 8102916 is about 2846.5621370348. The cubic root of 8102916 is about 200.8539817195.

It can be divided in two parts, 8 and 102916, that multiplied together give a palindrome (823328).

The spelling of 8102916 in words is "eight million, one hundred two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 267 281 324 356 534 562 801 843 1068 1124 1602 1686 2403 2529 3204 3372 4806 5058 7209 7587 9612 10116 14418 15174 22761 25009 28836 30348 45522 50018 75027 91044 100036 150054 225081 300108 450162 675243 900324 1350486 2025729 2700972 4051458 8102916