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2056200 = 2335223149
BaseRepresentation
bin111110110000000001000
310212110120120
413312000020
51011244300
6112023240
723322516
oct7660010
93773516
102056200
111184943
12831b20
1356cbb3
143b74b6
152a93a0
hex1f6008

2056200 has 96 divisors (see below), whose sum is σ = 6696000. Its totient is φ = 520960.

The previous prime is 2056193. The next prime is 2056207. The reversal of 2056200 is 26502.

It is an interprime number because it is at equal distance from previous prime (2056193) and next prime (2056207).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2056200.

It is not an unprimeable number, because it can be changed into a prime (2056207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13726 + ... + 13874.

It is an arithmetic number, because the mean of its divisors is an integer number (69750).

22056200 is an apocalyptic number.

2056200 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 2056200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348000).

2056200 is an abundant number, since it is smaller than the sum of its proper divisors (4639800).

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

2056200 is a wasteful number, since it uses less digits than its factorization.

2056200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 2056200 is about 1433.9456056629. The cubic root of 2056200 is about 127.1613465876.

The spelling of 2056200 in words is "two million, fifty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 149 150 184 200 230 276 298 300 345 447 460 552 575 596 600 690 745 894 920 1150 1192 1380 1490 1725 1788 2235 2300 2760 2980 3427 3450 3576 3725 4470 4600 5960 6854 6900 7450 8940 10281 11175 13708 13800 14900 17135 17880 20562 22350 27416 29800 34270 41124 44700 51405 68540 82248 85675 89400 102810 137080 171350 205620 257025 342700 411240 514050 685400 1028100 2056200