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2115090 = 232571331
BaseRepresentation
bin1000000100011000010010
310222110100200
420010120102
51020140330
6113200030
723656305
oct10043022
93873320
102115090
11121510a
12860016
13590943
143d0b3c
152bba60
hex204612

2115090 has 48 divisors (see below), whose sum is σ = 5593536. Its totient is φ = 554400.

The previous prime is 2115083. The next prime is 2115097. The reversal of 2115090 is 905112.

It is an interprime number because it is at equal distance from previous prime (2115083) and next prime (2115097).

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 (2115097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6225 + ... + 6555.

It is an arithmetic number, because the mean of its divisors is an integer number (116532).

22115090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796768).

2115090 is an abundant number, since it is smaller than the sum of its proper divisors (3478446).

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

2115090 is a wasteful number, since it uses less digits than its factorization.

2115090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 2115090 is about 1454.3348995331. The cubic root of 2115090 is about 128.3639139282.

The spelling of 2115090 in words is "two million, one hundred fifteen thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 331 355 426 639 662 710 993 1065 1278 1655 1986 2130 2979 3195 3310 4965 5958 6390 9930 14895 23501 29790 47002 70503 117505 141006 211509 235010 352515 423018 705030 1057545 2115090