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2150800 = 245219283
BaseRepresentation
bin1000001101000110010000
311001021100021
420031012100
51022311200
6114033224
724165361
oct10150620
94037307
102150800
111239a23
12878814
135a3c82
143ddb68
152c741a
hex20d190

2150800 has 60 divisors (see below), whose sum is σ = 5458480. Its totient is φ = 812160.

The previous prime is 2150791. The next prime is 2150801. The reversal of 2150800 is 80512.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2150801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7459 + ... + 7741.

22150800 is an apocalyptic number.

2150800 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 2150800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729240).

2150800 is an abundant number, since it is smaller than the sum of its proper divisors (3307680).

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

2150800 is a wasteful number, since it uses less digits than its factorization.

2150800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 2150800 is about 1466.5606022255. The cubic root of 2150800 is about 129.0822943041.

The spelling of 2150800 in words is "two million, one hundred fifty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 283 304 380 400 475 566 760 950 1132 1415 1520 1900 2264 2830 3800 4528 5377 5660 7075 7600 10754 11320 14150 21508 22640 26885 28300 43016 53770 56600 86032 107540 113200 134425 215080 268850 430160 537700 1075400 2150800