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57420 = 223251129
BaseRepresentation
bin1110000001001100
32220202200
432001030
53314140
61121500
7326256
oct160114
986680
1057420
113a160
1229290
132019c
1416cd6
1512030
hexe04c

57420 has 72 divisors (see below), whose sum is σ = 196560. Its totient is φ = 13440.

The previous prime is 57413. The next prime is 57427. The reversal of 57420 is 2475.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57413) and next prime (57427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 57393 and 57402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57427) by changing a digit.

57420 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 23 ways as a sum of consecutive naturals, for example, 1966 + ... + 1994.

It is an arithmetic number, because the mean of its divisors is an integer number (2730).

257420 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 57420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98280).

57420 is an abundant number, since it is smaller than the sum of its proper divisors (139140).

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

57420 is a wasteful number, since it uses less digits than its factorization.

57420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 57420 is about 239.6247065726. The cubic root of 57420 is about 38.5793046820.

Adding to 57420 its reverse (2475), we get a palindrome (59895).

Subtracting from 57420 its reverse (2475), we obtain a palindrome (54945).

The spelling of 57420 in words is "fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 870 957 990 1044 1276 1305 1595 1740 1914 1980 2610 2871 3190 3828 4785 5220 5742 6380 9570 11484 14355 19140 28710 57420