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2830807116 = 223541251283
BaseRepresentation
bin1010100010111010…
…1011000001001100
321022021122220100000
42220232223001030
521244141311431
61144522004300
7130102314654
oct25056530114
97267586300
102830807116
111222a0a315
12670046690
133616256c7
141cbd63364
151187c29e6
hexa8bab04c

2830807116 has 144 divisors (see below), whose sum is σ = 7658921088. Its totient is φ = 913680000.

The previous prime is 2830807103. The next prime is 2830807121. The reversal of 2830807116 is 6117080382.

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

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, 10002711 + ... + 10002993.

It is an arithmetic number, because the mean of its divisors is an integer number (53186952).

Almost surely, 22830807116 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 2830807116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3829460544).

2830807116 is an abundant number, since it is smaller than the sum of its proper divisors (4828113972).

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

2830807116 is a wasteful number, since it uses less digits than its factorization.

2830807116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2830807116 is about 53205.3297706160. The cubic root of 2830807116 is about 1414.6101163755.

Adding to 2830807116 its reverse (6117080382), we get a palindrome (8947887498).

The spelling of 2830807116 in words is "two billion, eight hundred thirty million, eight hundred seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 243 246 251 283 324 369 486 492 502 566 738 753 849 972 1004 1107 1132 1476 1506 1698 2214 2259 2547 3012 3321 3396 4428 4518 5094 6642 6777 7641 9036 9963 10188 10291 11603 13284 13554 15282 19926 20331 20582 22923 23206 27108 30564 30873 34809 39852 40662 41164 45846 46412 60993 61746 68769 69618 71033 81324 91692 92619 104427 121986 123492 137538 139236 142066 185238 208854 213099 243972 275076 277857 284132 313281 370476 417708 426198 555714 626562 639297 833571 852396 939843 1111428 1253124 1278594 1667142 1879686 1917891 2500713 2557188 2819529 2912353 3334284 3759372 3835782 5001426 5639058 5753673 5824706 7671564 8737059 10002852 11278116 11507346 11649412 17261019 17474118 23014692 26211177 34522038 34948236 52422354 69044076 78633531 104844708 157267062 235900593 314534124 471801186 707701779 943602372 1415403558 2830807116