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2087106 = 237231229
BaseRepresentation
bin111111101100011000010
310221000222020
413331203002
51013241411
6112422310
723511600
oct7754302
93830866
102087106
1111a608a
12847996
13580c98
143c4870
152b3606
hex1fd8c2

2087106 has 48 divisors (see below), whose sum is σ = 5034240. Its totient is φ = 574560.

The previous prime is 2087081. The next prime is 2087123. The reversal of 2087106 is 6017802.

It is a super-2 number, since 2×20871062 = 8712022910472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9000 + ... + 9228.

It is an arithmetic number, because the mean of its divisors is an integer number (104880).

22087106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517120).

2087106 is an abundant number, since it is smaller than the sum of its proper divisors (2947134).

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

2087106 is a wasteful number, since it uses less digits than its factorization.

2087106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 2087106 is about 1444.6819719232. The cubic root of 2087106 is about 127.7952863777.

The spelling of 2087106 in words is "two million, eighty-seven thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 229 294 434 458 651 687 1302 1374 1519 1603 3038 3206 4557 4809 7099 9114 9618 11221 14198 21297 22442 33663 42594 49693 67326 99386 149079 298158 347851 695702 1043553 2087106