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2906968104 = 233240374557
BaseRepresentation
bin1010110101000100…
…1101000000101000
321111120222021120100
42231101031000220
521423140434404
61200242225400
7132015551445
oct25521150050
97446867510
102906968104
1112619a9187
12691655260
13374340591
141d810a9cc
15120318d39
hexad44d028

2906968104 has 24 divisors (see below), whose sum is σ = 7873038810. Its totient is φ = 968989344.

The previous prime is 2906968093. The next prime is 2906968109. The reversal of 2906968104 is 4018696092.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 2872745604 + 34222500 = 53598^2 + 5850^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2906968104.

It is not an unprimeable number, because it can be changed into a prime (2906968109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20187207 + ... + 20187350.

Almost surely, 22906968104 is an apocalyptic number.

2906968104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2906968104 is an abundant number, since it is smaller than the sum of its proper divisors (4966070706).

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

2906968104 is a wasteful number, since it uses less digits than its factorization.

2906968104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40374569 (or 40374562 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 2906968104 is about 53916.3064758705. The cubic root of 2906968104 is about 1427.1843964361.

The spelling of 2906968104 in words is "two billion, nine hundred six million, nine hundred sixty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 40374557 80749114 121123671 161498228 242247342 322996456 363371013 484494684 726742026 968989368 1453484052 2906968104