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5410608084 = 2233754113229
BaseRepresentation
bin1010000100111111…
…10101001111010100
3111222002000100222000
411002133311033110
542040103424314
62252520035300
7251036260410
oct50237651724
914862010860
105410608084
112327168a32
121070002b30
13682c4575b
14394827d40
1521a013209
hex1427f53d4

5410608084 has 96 divisors (see below), whose sum is σ = 16062278400. Its totient is φ = 1542913920.

The previous prime is 5410608059. The next prime is 5410608103. The reversal of 5410608084 is 4808060145.

5410608084 is a `hidden beast` number, since 5 + 41 + 0 + 608 + 0 + 8 + 4 = 666.

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

It is a congruent number.

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, 402382 + ... + 415610.

It is an arithmetic number, because the mean of its divisors is an integer number (167315400).

Almost surely, 25410608084 is an apocalyptic number.

5410608084 is a gapful number since it is divisible by the number (54) 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 5410608084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8031139200).

5410608084 is an abundant number, since it is smaller than the sum of its proper divisors (10651670316).

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

5410608084 is a wasteful number, since it uses less digits than its factorization.

5410608084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13790 (or 13782 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5410608084 is about 73556.8357394471. The cubic root of 5410608084 is about 1755.5587146525.

The spelling of 5410608084 in words is "five billion, four hundred ten million, six hundred eight thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 541 756 1082 1623 2164 3246 3787 4869 6492 7574 9738 11361 13229 14607 15148 19476 22722 26458 29214 34083 39687 45444 52916 58428 68166 79374 92603 102249 119061 136332 158748 185206 204498 238122 277809 357183 370412 408996 476244 555618 714366 833427 1111236 1428732 1666854 2500281 3333708 5000562 7156889 10001124 14313778 21470667 28627556 42941334 50098223 64412001 85882668 100196446 128824002 150294669 193236003 200392892 257648004 300589338 386472006 450884007 601178676 772944012 901768014 1352652021 1803536028 2705304042 5410608084