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2087010432 = 273213237383
BaseRepresentation
bin111110001100101…
…0100000010000000
312101110002010002200
41330121110002000
513233233313212
6543031513200
7102501203343
oct17431240200
95343063080
102087010432
11981076911
124a2b28800
132734c0620
1415b26845a
15c334d6dc
hex7c654080

2087010432 has 384 divisors, whose sum is σ = 6923629440. Its totient is φ = 598523904.

The previous prime is 2087010421. The next prime is 2087010437. The reversal of 2087010432 is 2340107802.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×20870104322 = 8711225086553653248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2087010396 and 2087010405.

It is not an unprimeable number, because it can be changed into a prime (2087010437) 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 47 ways as a sum of consecutive naturals, for example, 25144663 + ... + 25144745.

It is an arithmetic number, because the mean of its divisors is an integer number (18030285).

Almost surely, 22087010432 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 2087010432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3461814720).

2087010432 is an abundant number, since it is smaller than the sum of its proper divisors (4836619008).

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

2087010432 is a wasteful number, since it uses less digits than its factorization.

2087010432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2087010432 is about 45683.8092982623. The cubic root of 2087010432 is about 1277.9333577775.

It can be divided in two parts, 208 and 7010432, that added together give a triangular number (7010640 = T3744).

The spelling of 2087010432 in words is "two billion, eighty-seven million, ten thousand, four hundred thirty-two".