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2055087072 = 25336138993
BaseRepresentation
bin111101001111110…
…0010001111100000
312022020000020111000
41322133202033200
513202100241242
6535531352000
7101632644333
oct17237421740
95266006430
102055087072
11965052375
124942b2600
132699c406c
14156d1861a
15c0644a4c
hex7a7e23e0

2055087072 has 96 divisors (see below), whose sum is σ = 6092422560. Its totient is φ = 673781760.

The previous prime is 2055087071. The next prime is 2055087077. The reversal of 2055087072 is 2707805502.

2055087072 is a `hidden beast` number, since 20 + 550 + 87 + 0 + 7 + 2 = 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 (2055087071) 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 15 ways as a sum of consecutive naturals, for example, 33208 + ... + 72200.

It is an arithmetic number, because the mean of its divisors is an integer number (63462735).

Almost surely, 22055087072 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 2055087072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3046211280).

2055087072 is an abundant number, since it is smaller than the sum of its proper divisors (4037335488).

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

2055087072 is a wasteful number, since it uses less digits than its factorization.

2055087072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39073 (or 39059 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 2055087072 is about 45333.0681953031. The cubic root of 2055087072 is about 1271.3840021986.

The spelling of 2055087072 in words is "two billion, fifty-five million, eighty-seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 13176 17568 26352 38993 52704 77986 116979 155972 233958 311944 350937 467916 623888 701874 935832 1052811 1247776 1403748 1871664 2105622 2378573 2807496 3743328 4211244 4757146 5614992 7135719 8422488 9514292 11229984 14271438 16844976 19028584 21407157 28542876 33689952 38057168 42814314 57085752 64221471 76114336 85628628 114171504 128442942 171257256 228343008 256885884 342514512 513771768 685029024 1027543536 2055087072