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2054084076 = 2233116432689
BaseRepresentation
bin111101001101110…
…1101010111101100
312022011010021122000
41322123231113230
513201321142301
6535454052300
7101621266212
oct17233552754
95264107560
102054084076
11964527850
12493aaa090
13269732685
14156b36cb2
15c04e7786
hex7a6ed5ec

2054084076 has 96 divisors (see below), whose sum is σ = 5820729600. Its totient is φ = 621250560.

The previous prime is 2054084063. The next prime is 2054084107. The reversal of 2054084076 is 6704804502.

2054084076 is a `hidden beast` number, since 2 + 0 + 540 + 8 + 40 + 76 = 666.

It is a super-2 number, since 2×20540840762 = 8438522782553547552, which contains 22 as substring.

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 2054084076.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 762540 + ... + 765228.

It is an arithmetic number, because the mean of its divisors is an integer number (60632600).

Almost surely, 22054084076 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 2054084076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910364800).

2054084076 is an abundant number, since it is smaller than the sum of its proper divisors (3766645524).

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

2054084076 is a wasteful number, since it uses less digits than its factorization.

2054084076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2054084076 is about 45322.0043246104. The cubic root of 2054084076 is about 1271.1771333353.

Adding to 2054084076 its reverse (6704804502), we get a palindrome (8758888578).

The spelling of 2054084076 in words is "two billion, fifty-four million, eighty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 643 1188 1286 1929 2572 2689 3858 5378 5787 7073 7716 8067 10756 11574 14146 16134 17361 21219 23148 24201 28292 29579 32268 34722 42438 48402 59158 63657 69444 72603 84876 88737 96804 118316 127314 145206 177474 190971 254628 266211 290412 354948 381942 532422 763884 798633 1064844 1597266 1729027 3194532 3458054 5187081 6916108 10374162 15561243 19019297 20748324 31122486 38038594 46683729 57057891 62244972 76077188 93367458 114115782 171173673 186734916 228231564 342347346 513521019 684694692 1027042038 2054084076