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2087052 = 2231197163
BaseRepresentation
bin111111101100010001100
310221000220020
413331202030
51013241202
6112422140
723511462
oct7754214
93830806
102087052
1111a6040
12847950
13580c56
143c4832
152b35bc
hex1fd88c

2087052 has 48 divisors (see below), whose sum is σ = 5400192. Its totient is φ = 622080.

The previous prime is 2087051. The next prime is 2087069. The reversal of 2087052 is 2507802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12723 + ... + 12885.

It is an arithmetic number, because the mean of its divisors is an integer number (112504).

22087052 is an apocalyptic number.

2087052 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700096).

2087052 is an abundant number, since it is smaller than the sum of its proper divisors (3313140).

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

2087052 is a wasteful number, since it uses less digits than its factorization.

2087052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 2087052 is about 1444.6632825679. The cubic root of 2087052 is about 127.7941842128.

It can be divided in two parts, 208 and 7052, that added together give a triangular number (7260 = T120).

The spelling of 2087052 in words is "two million, eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 163 194 291 326 388 489 582 652 978 1067 1164 1793 1956 2134 3201 3586 4268 5379 6402 7172 10758 12804 15811 21516 31622 47433 63244 94866 173921 189732 347842 521763 695684 1043526 2087052