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2830828014 = 2367793511
BaseRepresentation
bin1010100010111011…
…0000000111101110
321022021200222000000
42220232300013232
521244142444024
61144522245130
7130102432620
oct25056600756
97267628000
102830828014
111222a23a93
126700567a6
13361632081
141cbd6ac10
151187c8cc9
hexa8bb01ee

2830828014 has 112 divisors (see below), whose sum is σ = 7370142720. Its totient is φ = 798342480.

The previous prime is 2830827983. The next prime is 2830828019. The reversal of 2830828014 is 4108280382.

It is a happy number.

2830828014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2830828014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2830828019) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 804519 + ... + 808029.

Almost surely, 22830828014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2830828014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685071360).

2830828014 is an abundant number, since it is smaller than the sum of its proper divisors (4539314706).

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

2830828014 is an equidigital number, since it uses as much as digits as its factorization.

2830828014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3617 (or 3602 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2830828014 is about 53205.5261603529. The cubic root of 2830828014 is about 1414.6135974145.

The spelling of 2830828014 in words is "two billion, eight hundred thirty million, eight hundred twenty-eight thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 79 81 126 158 162 189 237 243 378 474 486 553 567 711 729 1106 1134 1422 1458 1659 1701 2133 3318 3402 3511 4266 4977 5103 6399 7022 9954 10206 10533 12798 14931 19197 21066 24577 29862 31599 38394 44793 49154 57591 63198 73731 89586 94797 115182 134379 147462 189594 221193 268758 277369 284391 403137 442386 554738 568782 663579 806274 832107 853173 1327158 1664214 1706346 1941583 1990737 2496321 2559519 3883166 3981474 4992642 5119038 5824749 5972211 7488963 11649498 11944422 14977926 17474247 17916633 22466889 34948494 35833266 44933778 52422741 67400667 104845482 134801334 157268223 202202001 314536446 404404002 471804669 943609338 1415414007 2830828014