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1012200 = 233527241
BaseRepresentation
bin11110111000111101000
31220102110220
43313013220
5224342300
633410040
711414010
oct3670750
91812426
101012200
11631532
12409920
13295947
141c4c40
1514eda0
hexf71e8

1012200 has 96 divisors (see below), whose sum is σ = 3600960. Its totient is φ = 230400.

The previous prime is 1012189. The next prime is 1012201. The reversal of 1012200 is 22101.

Adding to 1012200 its reverse (22101), we get a palindrome (1034301).

Subtracting from 1012200 its reverse (22101), we obtain a palindrome (990099).

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1012201) 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, 4080 + ... + 4320.

It is an arithmetic number, because the mean of its divisors is an integer number (37510).

21012200 is an apocalyptic number.

1012200 is a gapful number since it is divisible by the number (10) 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 1012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800480).

1012200 is an abundant number, since it is smaller than the sum of its proper divisors (2588760).

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

1012200 is a wasteful number, since it uses less digits than its factorization.

1012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 1012200 is about 1006.0815076325. The cubic root of 1012200 is about 100.4050240075.

The spelling of 1012200 in words is "one million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 241 280 300 350 420 482 525 600 700 723 840 964 1050 1205 1400 1446 1687 1928 2100 2410 2892 3374 3615 4200 4820 5061 5784 6025 6748 7230 8435 9640 10122 12050 13496 14460 16870 18075 20244 24100 25305 28920 33740 36150 40488 42175 48200 50610 67480 72300 84350 101220 126525 144600 168700 202440 253050 337400 506100 1012200