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2087232 = 26371553
BaseRepresentation
bin111111101100101000000
310221001010220
413331211000
51013242412
6112423040
723512140
oct7754500
93831126
102087232
1111a6194
12847a80
13581064
143c4920
152b368c
hex1fd940

2087232 has 56 divisors (see below), whose sum is σ = 6315456. Its totient is φ = 595968.

The previous prime is 2087231. The next prime is 2087233. The reversal of 2087232 is 2327802.

It is an interprime number because it is at equal distance from previous prime (2087231) and next prime (2087233).

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568 + ... + 2120.

It is an arithmetic number, because the mean of its divisors is an integer number (112776).

22087232 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 2087232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3157728).

2087232 is an abundant number, since it is smaller than the sum of its proper divisors (4228224).

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

2087232 is a wasteful number, since it uses less digits than its factorization.

2087232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 2087232 is about 1444.7255794787. The cubic root of 2087232 is about 127.7978580219.

2087232 divided by its sum of digits (24) gives a palindrome (86968).

The spelling of 2087232 in words is "two million, eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1553 3106 4659 6212 9318 10871 12424 18636 21742 24848 32613 37272 43484 49696 65226 74544 86968 99392 130452 149088 173936 260904 298176 347872 521808 695744 1043616 2087232