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2115630 = 2325112137
BaseRepresentation
bin1000000100100000101110
310222111002200
420010200232
51020200010
6113202330
723661006
oct10044056
93874080
102115630
111215560
128603a6
13590c6a
143d1006
152bbcc0
hex20482e

2115630 has 48 divisors (see below), whose sum is σ = 6003504. Its totient is φ = 512640.

The previous prime is 2115629. The next prime is 2115653. The reversal of 2115630 is 365112.

2115630 is a `hidden beast` number, since 21 + 15 + 630 = 666.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79 + ... + 2058.

It is an arithmetic number, because the mean of its divisors is an integer number (125073).

22115630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001752).

2115630 is an abundant number, since it is smaller than the sum of its proper divisors (3887874).

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

2115630 is a wasteful number, since it uses less digits than its factorization.

2115630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2115630 is about 1454.5205395593. The cubic root of 2115630 is about 128.3748371223.

It can be divided in two parts, 21 and 15630, that added together give a palindrome (15651).

The spelling of 2115630 in words is "two million, one hundred fifteen thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2137 4274 6411 10685 12822 19233 21370 23507 32055 38466 47014 64110 70521 96165 117535 141042 192330 211563 235070 352605 423126 705210 1057815 2115630