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2115108 = 2232411433
BaseRepresentation
bin1000000100011000100100
310222110101100
420010120210
51020140413
6113200100
723656332
oct10043044
93873340
102115108
111215126
12860030
13590958
143d0b52
152bba73
hex204624

2115108 has 36 divisors (see below), whose sum is σ = 5480748. Its totient is φ = 687360.

The previous prime is 2115107. The next prime is 2115121. The reversal of 2115108 is 8015112.

It can be written as a sum of positive squares in 2 ways, for example, as 842724 + 1272384 = 918^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (2115101) 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, 760 + ... + 2192.

It is an arithmetic number, because the mean of its divisors is an integer number (152243).

22115108 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 2115108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740374).

2115108 is an abundant number, since it is smaller than the sum of its proper divisors (3365640).

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

2115108 is a wasteful number, since it uses less digits than its factorization.

2115108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 2115108 is about 1454.3410879158. The cubic root of 2115108 is about 128.3642780646.

It can be divided in two parts, 21 and 15108, that added together give a square (15129 = 1232).

The spelling of 2115108 in words is "two million, one hundred fifteen thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1433 1476 2866 4299 5732 8598 12897 17196 25794 51588 58753 117506 176259 235012 352518 528777 705036 1057554 2115108