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2057700 = 22352193
BaseRepresentation
bin111110110010111100100
310212112122010
413312113210
51011321300
6112034220
723330061
oct7662744
93775563
102057700
111185a87
12832970
13570798
143b7c68
152a9a50
hex1f65e4

2057700 has 72 divisors (see below), whose sum is σ = 6284320. Its totient is φ = 519840.

The previous prime is 2057689. The next prime is 2057701. The reversal of 2057700 is 77502.

It is not an unprimeable number, because it can be changed into a prime (2057701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108291 + ... + 108309.

22057700 is an apocalyptic number.

2057700 is a gapful number since it is divisible by the number (20) 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 2057700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3142160).

2057700 is an abundant number, since it is smaller than the sum of its proper divisors (4226620).

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

2057700 is a wasteful number, since it uses less digits than its factorization.

2057700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 2057700 is about 1434.4685427014. The cubic root of 2057700 is about 127.1922605156.

The spelling of 2057700 in words is "two million, fifty-seven thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 361 380 475 570 722 950 1083 1140 1425 1444 1805 1900 2166 2850 3610 4332 5415 5700 6859 7220 9025 10830 13718 18050 20577 21660 27075 27436 34295 36100 41154 54150 68590 82308 102885 108300 137180 171475 205770 342950 411540 514425 685900 1028850 2057700