Search a number
-
+
2070055296 = 273212714149
BaseRepresentation
bin111101101100010…
…1000100110000000
312100021011201000200
41323120220212000
513214413232141
6541224245200
7102204115431
oct17330504600
95307151020
102070055296
11972546201
12499310800
1326cb350ba
14158cd3488
15c1aeeab6
hex7b628980

2070055296 has 96 divisors (see below), whose sum is σ = 6004128000. Its totient is φ = 684536832.

The previous prime is 2070055283. The next prime is 2070055327. The reversal of 2070055296 is 6925500702.

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 self number, because there is not a number n which added to its sum of digits gives 2070055296.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 139230 + ... + 153378.

It is an arithmetic number, because the mean of its divisors is an integer number (62543000).

Almost surely, 22070055296 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 2070055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3002064000).

2070055296 is an abundant number, since it is smaller than the sum of its proper divisors (3934072704).

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

2070055296 is a wasteful number, since it uses less digits than its factorization.

2070055296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14296 (or 14281 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 2070055296 is about 45497.8603452954. The cubic root of 2070055296 is about 1274.4632462703.

Adding to 2070055296 its reverse (6925500702), we get a palindrome (8995555998).

The spelling of 2070055296 in words is "two billion, seventy million, fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 288 381 384 508 576 762 1016 1143 1152 1524 2032 2286 3048 4064 4572 6096 8128 9144 12192 14149 16256 18288 24384 28298 36576 42447 48768 56596 73152 84894 113192 127341 146304 169788 226384 254682 339576 452768 509364 679152 905536 1018728 1358304 1796923 1811072 2037456 2716608 3593846 4074912 5390769 5433216 7187692 8149824 10781538 14375384 16172307 16299648 21563076 28750768 32344614 43126152 57501536 64689228 86252304 115003072 129378456 172504608 230006144 258756912 345009216 517513824 690018432 1035027648 2070055296