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2130786 = 23471879
BaseRepresentation
bin1000001000001101100010
311000020220000
420020031202
51021141121
6113400430
724053130
oct10101542
94006800
102130786
111225989
12869116
13597b28
143d6750
152c1526
hex208362

2130786 has 40 divisors (see below), whose sum is σ = 5459520. Its totient is φ = 608472.

The previous prime is 2130769. The next prime is 2130803. The reversal of 2130786 is 6870312.

It is an interprime number because it is at equal distance from previous prime (2130769) and next prime (2130803).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 195 + ... + 2073.

It is an arithmetic number, because the mean of its divisors is an integer number (136488).

22130786 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130786, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729760).

2130786 is an abundant number, since it is smaller than the sum of its proper divisors (3328734).

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

2130786 is a wasteful number, since it uses less digits than its factorization.

2130786 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1900 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2130786 is about 1459.7212062582. The cubic root of 2130786 is about 128.6806595548.

It can be divided in two parts, 2130 and 786, that added together give a square (2916 = 542).

The spelling of 2130786 in words is "two million, one hundred thirty thousand, seven hundred eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1134 1879 3758 5637 11274 13153 16911 26306 33822 39459 50733 78918 101466 118377 152199 236754 304398 355131 710262 1065393 2130786