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84940 = 22531137
BaseRepresentation
bin10100101111001100
311022111221
4110233030
510204230
61453124
7502432
oct245714
9138457
1084940
11588a9
12411a4
132c87b
1422d52
151a27a
hex14bcc

84940 has 24 divisors (see below), whose sum is σ = 185472. Its totient is φ = 32640.

The previous prime is 84919. The next prime is 84947. The reversal of 84940 is 4948.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (84947) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 552 + ... + 688.

It is an arithmetic number, because the mean of its divisors is an integer number (7728).

284940 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 84940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92736).

84940 is an abundant number, since it is smaller than the sum of its proper divisors (100532).

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

84940 is a wasteful number, since it uses less digits than its factorization.

84940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 84940 is about 291.4446774261. Note that the first 3 decimals coincide. The cubic root of 84940 is about 43.9579488048.

It can be divided in two parts, 84 and 940, that added together give a 10-th power (1024 = 210).

The spelling of 84940 in words is "eighty-four thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 137 155 274 310 548 620 685 1370 2740 4247 8494 16988 21235 42470 84940