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2105250 = 23537401
BaseRepresentation
bin1000000001111110100010
310221221212020
420001332202
51014332000
6113042310
723615520
oct10017642
93857766
102105250
111208784
12856396
13589314
143cb310
152b8ba0
hex201fa2

2105250 has 64 divisors (see below), whose sum is σ = 6020352. Its totient is φ = 480000.

The previous prime is 2105231. The next prime is 2105251. The reversal of 2105250 is 525012.

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

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (2105251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5050 + ... + 5450.

It is an arithmetic number, because the mean of its divisors is an integer number (94068).

22105250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3010176).

2105250 is an abundant number, since it is smaller than the sum of its proper divisors (3915102).

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

2105250 is a wasteful number, since it uses less digits than its factorization.

2105250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2105250 is about 1450.9479659864. The cubic root of 2105250 is about 128.1645426234.

It can be divided in two parts, 210 and 5250, that multiplied together give a square (1102500 = 10502).

The spelling of 2105250 in words is "two million, one hundred five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 125 150 175 210 250 350 375 401 525 750 802 875 1050 1203 1750 2005 2406 2625 2807 4010 5250 5614 6015 8421 10025 12030 14035 16842 20050 28070 30075 42105 50125 60150 70175 84210 100250 140350 150375 210525 300750 350875 421050 701750 1052625 2105250