Search a number
-
+
2115000 = 23325447
BaseRepresentation
bin1000000100010110111000
310222110020100
420010112320
51020140000
6113155400
723656116
oct10042670
93873210
102115000
111215038
1285bb60
135908a4
143d0ab6
152bba00
hex2045b8

2115000 has 120 divisors (see below), whose sum is σ = 7310160. Its totient is φ = 552000.

The previous prime is 2114977. The next prime is 2115007. The reversal of 2115000 is 5112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44977 + ... + 45023.

It is an arithmetic number, because the mean of its divisors is an integer number (60918).

22115000 is an apocalyptic number.

2115000 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 2115000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3655080).

2115000 is an abundant number, since it is smaller than the sum of its proper divisors (5195160).

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

2115000 is a wasteful number, since it uses less digits than its factorization.

2115000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 9.

The square root of 2115000 is about 1454.3039572249. The cubic root of 2115000 is about 128.3620932151.

The spelling of 2115000 in words is "two million, one hundred fifteen thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 47 50 60 72 75 90 94 100 120 125 141 150 180 188 200 225 235 250 282 300 360 375 376 423 450 470 500 564 600 625 705 750 846 900 940 1000 1125 1128 1175 1250 1410 1500 1692 1800 1875 1880 2115 2250 2350 2500 2820 3000 3384 3525 3750 4230 4500 4700 5000 5625 5640 5875 7050 7500 8460 9000 9400 10575 11250 11750 14100 15000 16920 17625 21150 22500 23500 28200 29375 35250 42300 45000 47000 52875 58750 70500 84600 88125 105750 117500 141000 176250 211500 235000 264375 352500 423000 528750 705000 1057500 2115000