Search a number
-
+
1059196338 = 23425572
BaseRepresentation
bin111111001000100…
…000110110110010
32201211001202020000
4333020200312302
54132123240323
6253034130430
735151006654
oct7710406662
92654052200
101059196338
114a3985982
12256880a16
1313b5953c5
14a095a6d4
1562ec5e43
hex3f220db2

1059196338 has 30 divisors (see below), whose sum is σ = 2374312941. Its totient is φ = 352927368.

The previous prime is 1059196321. The next prime is 1059196351. The reversal of 1059196338 is 8336919501.

1059196338 is a `hidden beast` number, since 1 + 0 + 5 + 9 + 1 + 9 + 633 + 8 = 666.

1059196338 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1053846369 + 5349969 = 32463^2 + 2313^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23013.

It is a super-2 number, since 2×10591963382 = 2243793764865220488, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1059196293 and 1059196302.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 412956 + ... + 415512.

Almost surely, 21059196338 is an apocalyptic number.

1059196338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1059196338 is an abundant number, since it is smaller than the sum of its proper divisors (1315116603).

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

1059196338 is an frugal number, since it uses more digits than its factorization.

1059196338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5128 (or 2562 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1059196338 is about 32545.2967108920. The cubic root of 1059196338 is about 1019.3550767444.

It can be divided in two parts, 10591 and 96338, that added together give a square (106929 = 3272).

The spelling of 1059196338 in words is "one billion, fifty-nine million, one hundred ninety-six thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 2557 5114 7671 15342 23013 46026 69039 138078 207117 414234 6538249 13076498 19614747 39229494 58844241 117688482 176532723 353065446 529598169 1059196338