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1057420 = 225721383
BaseRepresentation
bin100000010001010001100
31222201111201
410002022030
5232314140
634355244
711662600
oct4021214
91881451
101057420
11662501
1242bb24
132b03c0
141d7500
1515d49a
hex10228c

1057420 has 72 divisors (see below), whose sum is σ = 2815344. Its totient is φ = 330624.

The previous prime is 1057411. The next prime is 1057421. The reversal of 1057420 is 247501.

1057420 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×10574202 = 2236274112800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12699 + ... + 12781.

It is an arithmetic number, because the mean of its divisors is an integer number (39102).

21057420 is an apocalyptic number.

1057420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1407672).

1057420 is an abundant number, since it is smaller than the sum of its proper divisors (1757924).

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

1057420 is a wasteful number, since it uses less digits than its factorization.

1057420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 1057420 is about 1028.3092919934. The cubic root of 1057420 is about 101.8784917317.

The spelling of 1057420 in words is "one million, fifty-seven thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 49 52 65 70 83 91 98 130 140 166 182 196 245 260 332 364 415 455 490 581 637 830 910 980 1079 1162 1274 1660 1820 2158 2324 2548 2905 3185 4067 4316 5395 5810 6370 7553 8134 10790 11620 12740 15106 16268 20335 21580 30212 37765 40670 52871 75530 81340 105742 151060 211484 264355 528710 1057420