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2115740 = 2251159163
BaseRepresentation
bin1000000100100010011100
310222111020202
420010202130
51020200430
6113203032
723661224
oct10044234
93874222
102115740
111215650
12860478
13591023
143d1084
152bbd45
hex20489c

2115740 has 48 divisors (see below), whose sum is σ = 4959360. Its totient is φ = 751680.

The previous prime is 2115727. The next prime is 2115749. The reversal of 2115740 is 475112.

2115740 = T235 + T236 + ... + T294.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115749) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12899 + ... + 13061.

It is an arithmetic number, because the mean of its divisors is an integer number (103320).

22115740 is an apocalyptic number.

2115740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479680).

2115740 is an abundant number, since it is smaller than the sum of its proper divisors (2843620).

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

2115740 is a wasteful number, since it uses less digits than its factorization.

2115740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 2115740 is about 1454.5583522155. The cubic root of 2115740 is about 128.3770619894.

The spelling of 2115740 in words is "two million, one hundred fifteen thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 163 220 236 295 326 590 649 652 815 1180 1298 1630 1793 2596 3245 3260 3586 6490 7172 8965 9617 12980 17930 19234 35860 38468 48085 96170 105787 192340 211574 423148 528935 1057870 2115740