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2057200 = 245237139
BaseRepresentation
bin111110110001111110000
310212111221121
413312033300
51011312300
6112032024
723325445
oct7661760
93774847
102057200
111185672
12832614
135704a2
143b79cc
152a981a
hex1f63f0

2057200 has 60 divisors (see below), whose sum is σ = 5112520. Its totient is φ = 794880.

The previous prime is 2057197. The next prime is 2057203. The reversal of 2057200 is 27502.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2057197) and next prime (2057203).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2057203) 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 11 ways as a sum of consecutive naturals, for example, 14731 + ... + 14869.

22057200 is an apocalyptic number.

2057200 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 2057200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556260).

2057200 is an abundant number, since it is smaller than the sum of its proper divisors (3055320).

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

2057200 is a wasteful number, since it uses less digits than its factorization.

2057200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 16.

The square root of 2057200 is about 1434.2942515398. The cubic root of 2057200 is about 127.1819575427.

The spelling of 2057200 in words is "two million, fifty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 74 80 100 139 148 185 200 278 296 370 400 556 592 695 740 925 1112 1390 1480 1850 2224 2780 2960 3475 3700 5143 5560 6950 7400 10286 11120 13900 14800 20572 25715 27800 41144 51430 55600 82288 102860 128575 205720 257150 411440 514300 1028600 2057200