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1057212 = 223413251
BaseRepresentation
bin100000010000110111100
31222201020000
410002012330
5232312322
634354300
711662152
oct4020674
91881200
101057212
11662332
1242b990
132b0290
141d73d2
1515d3ac
hex1021bc

1057212 has 60 divisors (see below), whose sum is σ = 2988216. Its totient is φ = 324000.

The previous prime is 1057183. The next prime is 1057219. The reversal of 1057212 is 2127501.

It is a super-2 number, since 2×10572122 = 2235394425888, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057219) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4087 + ... + 4337.

21057212 is an apocalyptic number.

1057212 is a gapful number since it is divisible by the number (12) 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 1057212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494108).

1057212 is an abundant number, since it is smaller than the sum of its proper divisors (1931004).

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

1057212 is a wasteful number, since it uses less digits than its factorization.

1057212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1057212 is about 1028.2081501330. The cubic root of 1057212 is about 101.8718112844.

The spelling of 1057212 in words is "one million, fifty-seven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 251 324 351 468 502 702 753 1004 1053 1404 1506 2106 2259 3012 3263 4212 4518 6526 6777 9036 9789 13052 13554 19578 20331 27108 29367 39156 40662 58734 81324 88101 117468 176202 264303 352404 528606 1057212