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1057020 = 223579223
BaseRepresentation
bin100000010000011111100
31222200221220
410002003330
5232311040
634353340
711661456
oct4020374
91880856
101057020
11662178
1242b850
132b0173
141d72d6
1515d2d0
hex1020fc

1057020 has 48 divisors (see below), whose sum is σ = 3010560. Its totient is φ = 277056.

The previous prime is 1057019. The next prime is 1057033. The reversal of 1057020 is 207501.

It is a happy number.

It is a super-2 number, since 2×10570202 = 2234582560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4629 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (62720).

21057020 is an apocalyptic number.

1057020 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 1057020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1505280).

1057020 is an abundant number, since it is smaller than the sum of its proper divisors (1953540).

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

1057020 is a wasteful number, since it uses less digits than its factorization.

1057020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 1057020 is about 1028.1147795845. The cubic root of 1057020 is about 101.8656439399.

The spelling of 1057020 in words is "one million, fifty-seven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 158 223 237 316 395 446 474 669 790 892 948 1115 1185 1338 1580 2230 2370 2676 3345 4460 4740 6690 13380 17617 35234 52851 70468 88085 105702 176170 211404 264255 352340 528510 1057020