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2820432 = 24367877
BaseRepresentation
bin1010110000100101010000
312022021220110
422300211100
51210223212
6140241320
732654556
oct12604520
95267813
102820432
11165703a
12b40240
137799c4
14535bd6
153aaa3c
hex2b0950

2820432 has 40 divisors (see below), whose sum is σ = 7403296. Its totient is φ = 925056.

The previous prime is 2820407. The next prime is 2820479. The reversal of 2820432 is 2340282.

It is a junction number, because it is equal to n+sod(n) for n = 2820399 and 2820408.

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, 2778 + ... + 3654.

22820432 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 2820432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701648).

2820432 is an abundant number, since it is smaller than the sum of its proper divisors (4582864).

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

2820432 is a wasteful number, since it uses less digits than its factorization.

2820432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2820432 is about 1679.4141835771. The cubic root of 2820432 is about 141.2879784060.

The spelling of 2820432 in words is "two million, eight hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 877 1072 1608 1754 2631 3216 3508 5262 7016 10524 14032 21048 42096 58759 117518 176277 235036 352554 470072 705108 940144 1410216 2820432