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2087432064 = 27322962483
BaseRepresentation
bin111110001101011…
…1010111110000000
312101110212112110200
41330122322332000
513233340311224
6543044525200
7102504610524
oct17432727600
95343775420
102087432064
11981334673
124a30b0800
1327360a503
1415b337d84
15c33d35c9
hex7c6baf80

2087432064 has 96 divisors (see below), whose sum is σ = 6214033800. Its totient is φ = 671806464.

The previous prime is 2087432047. The next prime is 2087432069. The reversal of 2087432064 is 4602347802.

2087432064 is a `hidden beast` number, since 208 + 74 + 320 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087432069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2167 + ... + 64649.

Almost surely, 22087432064 is an apocalyptic number.

2087432064 is a gapful number since it is divisible by the number (24) 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 2087432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107016900).

2087432064 is an abundant number, since it is smaller than the sum of its proper divisors (4126601736).

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

2087432064 is a wasteful number, since it uses less digits than its factorization.

2087432064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62532 (or 62517 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2087432064 is about 45688.4237416876. The cubic root of 2087432064 is about 1278.0194109037.

Adding to 2087432064 its reverse (4602347802), we get a palindrome (6689779866).

The spelling of 2087432064 in words is "two billion, eighty-seven million, four hundred thirty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 522 576 696 928 1044 1152 1392 1856 2088 2784 3712 4176 5568 8352 11136 16704 33408 62483 124966 187449 249932 374898 499864 562347 749796 999728 1124694 1499592 1812007 1999456 2249388 2999184 3624014 3998912 4498776 5436021 5998368 7248028 7997824 8997552 10872042 11996736 14496056 16308063 17995104 21744084 23993472 28992112 32616126 35990208 43488168 57984224 65232252 71980416 86976336 115968448 130464504 173952672 231936896 260929008 347905344 521858016 695810688 1043716032 2087432064