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2087093568 = 26379911567
BaseRepresentation
bin111110001100110…
…1000010101000000
312101110020100010210
41330121220111000
513233243443233
6543033354120
7102502000620
oct17431502500
95343210123
102087093568
1198112331a
124a2b68940
1327351c411
1415b28a880
15c3368163
hex7c668540

2087093568 has 112 divisors (see below), whose sum is σ = 6321373184. Its totient is φ = 595330560.

The previous prime is 2087093563. The next prime is 2087093573. The reversal of 2087093568 is 8653907802.

It is an interprime number because it is at equal distance from previous prime (2087093563) and next prime (2087093573).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087093563) 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 15 ways as a sum of consecutive naturals, for example, 1331121 + ... + 1332687.

It is an arithmetic number, because the mean of its divisors is an integer number (56440832).

Almost surely, 22087093568 is an apocalyptic number.

2087093568 is a gapful number since it is divisible by the number (28) 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 2087093568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3160686592).

2087093568 is an abundant number, since it is smaller than the sum of its proper divisors (4234279616).

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

2087093568 is a wasteful number, since it uses less digits than its factorization.

2087093568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2580 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2087093568 is about 45684.7191958099. The cubic root of 2087093568 is about 1277.9503263649.

The spelling of 2087093568 in words is "two billion, eighty-seven million, ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 991 1344 1567 1982 2973 3134 3964 4701 5946 6268 6937 7928 9402 10969 11892 12536 13874 15856 18804 20811 21938 23784 25072 27748 31712 32907 37608 41622 43876 47568 50144 55496 63424 65814 75216 83244 87752 95136 100288 110992 131628 150432 166488 175504 190272 221984 263256 300864 332976 351008 443968 526512 665952 702016 1053024 1331904 1552897 2106048 3105794 4658691 6211588 9317382 10870279 12423176 18634764 21740558 24846352 32610837 37269528 43481116 49692704 65221674 74539056 86962232 99385408 130443348 149078112 173924464 260886696 298156224 347848928 521773392 695697856 1043546784 2087093568