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2056600 = 2352713113
BaseRepresentation
bin111110110000110011000
310212111010101
413312012120
51011302400
6112025144
723323630
oct7660630
93774111
102056600
111185177
128321b4
13570130
143b76c0
152a956a
hex1f6198

2056600 has 96 divisors (see below), whose sum is σ = 5937120. Its totient is φ = 645120.

The previous prime is 2056597. The next prime is 2056603. The reversal of 2056600 is 66502.

It is an interprime number because it is at equal distance from previous prime (2056597) and next prime (2056603).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2056603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18144 + ... + 18256.

It is an arithmetic number, because the mean of its divisors is an integer number (61845).

22056600 is an apocalyptic number.

2056600 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 2056600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968560).

2056600 is an abundant number, since it is smaller than the sum of its proper divisors (3880520).

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

2056600 is a wasteful number, since it uses less digits than its factorization.

2056600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 2056600 is about 1434.0850741849. The cubic root of 2056600 is about 127.1695917714.

The spelling of 2056600 in words is "two million, fifty-six thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 91 100 104 113 130 140 175 182 200 226 260 280 325 350 364 452 455 520 565 650 700 728 791 904 910 1130 1300 1400 1469 1582 1820 2260 2275 2600 2825 2938 3164 3640 3955 4520 4550 5650 5876 6328 7345 7910 9100 10283 11300 11752 14690 15820 18200 19775 20566 22600 29380 31640 36725 39550 41132 51415 58760 73450 79100 82264 102830 146900 158200 205660 257075 293800 411320 514150 1028300 2056600