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1059309108 = 22321113347593
BaseRepresentation
bin111111001000111…
…100011000110100
32201211021110220200
4333020330120310
54132140342413
6253040400500
735151656514
oct7710743064
92654243820
101059309108
114a3a52680
12256916130
1313b604830
14a0989844
1562ee9573
hex3f23c634

1059309108 has 144 divisors (see below), whose sum is σ = 3160213056. Its totient is φ = 294958080.

The previous prime is 1059309079. The next prime is 1059309133. The reversal of 1059309108 is 8019039501.

It is a happy number.

It is a super-2 number, since 2×10593091082 = 2244271572583511328, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1786060 + ... + 1786652.

It is an arithmetic number, because the mean of its divisors is an integer number (21945924).

Almost surely, 21059309108 is an apocalyptic number.

1059309108 is a gapful number since it is divisible by the number (18) 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 1059309108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1580106528).

1059309108 is an abundant number, since it is smaller than the sum of its proper divisors (2100903948).

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

1059309108 is a wasteful number, since it uses less digits than its factorization.

1059309108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 1059309108 is about 32547.0291731826. The cubic root of 1059309108 is about 1019.3912515273.

The spelling of 1059309108 in words is "one billion, fifty-nine million, three hundred nine thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 99 117 132 143 156 198 234 286 347 396 429 468 572 593 694 858 1041 1186 1287 1388 1716 1779 2082 2372 2574 3123 3558 3817 4164 4511 5148 5337 6246 6523 7116 7634 7709 9022 10674 11451 12492 13046 13533 15268 15418 18044 19569 21348 22902 23127 26092 27066 30836 34353 39138 40599 45804 46254 49621 54132 58707 68706 69381 78276 81198 84799 92508 99242 117414 137412 138762 148863 162396 169598 198484 205771 234828 254397 277524 297726 339196 411542 446589 508794 595452 617313 763191 823084 893178 1017588 1234626 1526382 1786356 1851939 2263481 2469252 2675023 3052764 3703878 4526962 5350046 6790443 7407756 8025069 9053924 10700092 13580886 16050138 20371329 24075207 27161772 29425253 32100276 40742658 48150414 58850506 81485316 88275759 96300828 117701012 176551518 264827277 353103036 529654554 1059309108