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2416067420 = 2251313966853
BaseRepresentation
bin1001000000000010…
…0100001101011100
320020101020221102112
42100000210031130
514422003124140
61035424413152
7113605143224
oct22000441534
96211227375
102416067420
11102a897238
125751771b8
132c67230c0
1418cc43084
15e219bc65
hex9002435c

2416067420 has 48 divisors (see below), whose sum is σ = 5503421280. Its totient is φ = 885655296.

The previous prime is 2416067377. The next prime is 2416067447. The reversal of 2416067420 is 247606142.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714 + ... + 69566.

It is an arithmetic number, because the mean of its divisors is an integer number (114654610).

Almost surely, 22416067420 is an apocalyptic number.

2416067420 is a gapful number since it is divisible by the number (20) 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 2416067420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751710640).

2416067420 is an abundant number, since it is smaller than the sum of its proper divisors (3087353860).

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

2416067420 is a wasteful number, since it uses less digits than its factorization.

2416067420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67014 (or 67012 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2416067420 is about 49153.5087252172. The cubic root of 2416067420 is about 1341.8470518794.

The spelling of 2416067420 in words is "two billion, four hundred sixteen million, sixty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 139 260 278 556 695 1390 1807 2780 3614 7228 9035 18070 36140 66853 133706 267412 334265 668530 869089 1337060 1738178 3476356 4345445 8690890 9292567 17381780 18585134 37170268 46462835 92925670 120803371 185851340 241606742 483213484 604016855 1208033710 2416067420