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840182144 = 27673132
BaseRepresentation
bin110010000101000…
…010100110000000
32011112221200020012
4302011002212000
53210041312034
6215212004052
726551300424
oct6205024600
92145850205
10840182144
113a129630a
121b5460628
131050b15c9
147d828b84
154db62cce
hex32142980

840182144 has 48 divisors (see below), whose sum is σ = 1704227220. Its totient is φ = 412498944.

The previous prime is 840182107. The next prime is 840182149. The reversal of 840182144 is 441281048.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 840182144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840182149) 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, 2684132 + ... + 2684444.

Almost surely, 2840182144 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 840182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852113610).

840182144 is an abundant number, since it is smaller than the sum of its proper divisors (864045076).

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

840182144 is an frugal number, since it uses more digits than its factorization.

840182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 840182144 is about 28985.8956045867. The cubic root of 840182144 is about 943.6069895197.

The spelling of 840182144 in words is "eight hundred forty million, one hundred eighty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 313 536 626 1072 1252 2144 2504 4288 5008 8576 10016 20032 20971 40064 41942 83884 97969 167768 195938 335536 391876 671072 783752 1342144 1567504 2684288 3135008 6270016 6563923 12540032 13127846 26255692 52511384 105022768 210045536 420091072 840182144