Search a number
-
+
2078109384 = 233137399013
BaseRepresentation
bin111101111011101…
…0110111011001000
312100211022220011020
41323313112323020
513223444000014
6542113032440
7102332431641
oct17367267310
95324286136
102078109384
1197704737a
1249bb55720
132716c5030
14159dcc6c8
15c26911a9
hex7bdd6ec8

2078109384 has 64 divisors (see below), whose sum is σ = 5603102400. Its totient is φ = 638482176.

The previous prime is 2078109377. The next prime is 2078109413. The reversal of 2078109384 is 4839018702.

It is a super-2 number, since 2×20781093842 = 8637077223737718912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226062 + ... + 235074.

It is an arithmetic number, because the mean of its divisors is an integer number (87548475).

Almost surely, 22078109384 is an apocalyptic number.

2078109384 is a gapful number since it is divisible by the number (24) 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 2078109384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2801551200).

2078109384 is an abundant number, since it is smaller than the sum of its proper divisors (3524993016).

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

2078109384 is a wasteful number, since it uses less digits than its factorization.

2078109384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9774 (or 9770 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 2078109384 is about 45586.2850427626. The cubic root of 2078109384 is about 1276.1139840459.

The spelling of 2078109384 in words is "two billion, seventy-eight million, one hundred nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 739 1478 2217 2956 4434 5912 8868 9013 9607 17736 18026 19214 27039 28821 36052 38428 54078 57642 72104 76856 108156 115284 117169 216312 230568 234338 351507 468676 703014 937352 1406028 2812056 6660607 13321214 19981821 26642428 39963642 53284856 79927284 86587891 159854568 173175782 259763673 346351564 519527346 692703128 1039054692 2078109384