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79420 = 22511192
BaseRepresentation
bin10011011000111100
311000221111
4103120330
510020140
61411404
7450355
oct233074
9130844
1079420
1154740
1239b64
132a1c3
1420d2c
15187ea
hex1363c

79420 has 36 divisors (see below), whose sum is σ = 192024. Its totient is φ = 27360.

The previous prime is 79411. The next prime is 79423. The reversal of 79420 is 2497.

79420 = T109 + T110 + ... + T120.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 79391 and 79400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79423) by changing a digit.

79420 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4171 + ... + 4189.

It is an arithmetic number, because the mean of its divisors is an integer number (5334).

279420 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 79420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012).

79420 is an abundant number, since it is smaller than the sum of its proper divisors (112604).

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

79420 is a wasteful number, since it uses less digits than its factorization.

79420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 79420 is about 281.8155425096. The cubic root of 79420 is about 42.9843101222.

The spelling of 79420 in words is "seventy-nine thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 361 380 418 722 836 1045 1444 1805 2090 3610 3971 4180 7220 7942 15884 19855 39710 79420