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2087946 = 232773227
BaseRepresentation
bin111111101110000001010
310221002010100
413331300022
51013303241
6112430230
723514210
oct7756012
93832110
102087946
1111a6783
12848376
13581493
143c4cb0
152b39b6
hex1fdc0a

2087946 has 48 divisors (see below), whose sum is σ = 5264064. Its totient is φ = 585792.

The previous prime is 2087941. The next prime is 2087983. The reversal of 2087946 is 6497802.

2087946 is a nontrivial binomial coefficient, being equal to C(2044, 2).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2087946.

It is not an unprimeable number, because it can be changed into a prime (2087941) 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, 9085 + ... + 9311.

It is an arithmetic number, because the mean of its divisors is an integer number (109668).

22087946 is an apocalyptic number.

2087946 is the 2043-rd triangular number and also the 1022-nd hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2632032).

2087946 is an abundant number, since it is smaller than the sum of its proper divisors (3176118).

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

2087946 is a wasteful number, since it uses less digits than its factorization.

2087946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2087946 is about 1444.9726641013. The cubic root of 2087946 is about 127.8124287177.

The spelling of 2087946 in words is "two million, eighty-seven thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 73 126 146 219 227 438 454 511 657 681 1022 1314 1362 1533 1589 2043 3066 3178 4086 4599 4767 9198 9534 14301 16571 28602 33142 49713 99426 115997 149139 231994 298278 347991 695982 1043973 2087946