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2087872 = 261719101
BaseRepresentation
bin111111101101111000000
310221002000121
413331233000
51013302442
6112430024
723514043
oct7755700
93832017
102087872
1111a6716
12848314
13581437
143c4c5a
152b3967
hex1fdbc0

2087872 has 56 divisors (see below), whose sum is σ = 4663440. Its totient is φ = 921600.

The previous prime is 2087861. The next prime is 2087879. The reversal of 2087872 is 2787802.

2087872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20622 + ... + 20722.

22087872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331720).

2087872 is an abundant number, since it is smaller than the sum of its proper divisors (2575568).

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

2087872 is a wasteful number, since it uses less digits than its factorization.

2087872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The square root of 2087872 is about 1444.9470578537. The cubic root of 2087872 is about 127.8109187439.

The spelling of 2087872 in words is "two million, eighty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 101 136 152 202 272 304 323 404 544 608 646 808 1088 1216 1292 1616 1717 1919 2584 3232 3434 3838 5168 6464 6868 7676 10336 13736 15352 20672 27472 30704 32623 54944 61408 65246 109888 122816 130492 260984 521968 1043936 2087872