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2069200 = 24527739
BaseRepresentation
bin111111001001011010000
310220010102001
413321023100
51012203300
6112203344
723405440
oct7711320
93803361
102069200
111193691
12839554
13575aa3
143bc120
152ad16a
hex1f92d0

2069200 has 60 divisors (see below), whose sum is σ = 5689120. Its totient is φ = 708480.

The previous prime is 2069191. The next prime is 2069209. The reversal of 2069200 is 29602.

It is an interprime number because it is at equal distance from previous prime (2069191) and next prime (2069209).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2069209) 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 11 ways as a sum of consecutive naturals, for example, 2431 + ... + 3169.

22069200 is an apocalyptic number.

2069200 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 2069200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844560).

2069200 is an abundant number, since it is smaller than the sum of its proper divisors (3619920).

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

2069200 is a wasteful number, since it uses less digits than its factorization.

2069200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 2069200 is about 1438.4714109081. The cubic root of 2069200 is about 127.4287696455.

The spelling of 2069200 in words is "two million, sixty-nine thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 739 1400 1478 2800 2956 3695 5173 5912 7390 10346 11824 14780 18475 20692 25865 29560 36950 41384 51730 59120 73900 82768 103460 129325 147800 206920 258650 295600 413840 517300 1034600 2069200