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1057900 = 225271149
BaseRepresentation
bin100000010010001101100
31222202011111
410002101230
5232323100
634401404
711664154
oct4022154
91882144
101057900
116628a8
12430264
132b069c
141d7764
1515d6ba
hex10246c

1057900 has 36 divisors (see below), whose sum is σ = 2343600. Its totient is φ = 414400.

The previous prime is 1057897. The next prime is 1057907. The reversal of 1057900 is 97501.

It is a super-2 number, since 2×10579002 = 2238304820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7026 + ... + 7174.

It is an arithmetic number, because the mean of its divisors is an integer number (65100).

21057900 is an apocalyptic number.

1057900 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 1057900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1171800).

1057900 is an abundant number, since it is smaller than the sum of its proper divisors (1285700).

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

1057900 is a wasteful number, since it uses less digits than its factorization.

1057900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 1057900 is about 1028.5426583278. The cubic root of 1057900 is about 101.8939048058.

The spelling of 1057900 in words is "one million, fifty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 149 284 298 355 596 710 745 1420 1490 1775 2980 3550 3725 7100 7450 10579 14900 21158 42316 52895 105790 211580 264475 528950 1057900