Search a number
-
+
840002016 = 25371250003
BaseRepresentation
bin110010000100010…
…110100111100000
32011112121112010210
4302010112213200
53210020031031
6215204054120
726546620320
oct6204264740
92145545123
10840002016
113a1182a47
121b5394340
1310504a619
147d7bd280
154db29746
hex321169e0

840002016 has 48 divisors (see below), whose sum is σ = 2520008064. Its totient is φ = 240000384.

The previous prime is 840001997. The next prime is 840002039. The reversal of 840002016 is 610200048.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 840001983 and 840002001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 624330 + ... + 625673.

It is an arithmetic number, because the mean of its divisors is an integer number (52500168).

Almost surely, 2840002016 is an apocalyptic number.

It is an amenable number.

840002016 is an abundant number, since it is smaller than the sum of its proper divisors (1680006048).

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

840002016 is a wasteful number, since it uses less digits than its factorization.

840002016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250023 (or 1250015 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 840002016 is about 28982.7882716622. The cubic root of 840002016 is about 943.5395508937.

The spelling of 840002016 in words is "eight hundred forty million, two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1250003 2500006 3750009 5000012 7500018 8750021 10000024 15000036 17500042 20000048 26250063 30000072 35000084 40000096 52500126 60000144 70000168 105000252 120000288 140000336 210000504 280000672 420001008 840002016