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2129700 = 2235231229
BaseRepresentation
bin1000000111111100100100
311000012101210
420013330210
51021122300
6113351420
724050016
oct10077444
94005353
102129700
111225091
12868570
135974a1
143d61b6
152c1050
hex207f24

2129700 has 72 divisors (see below), whose sum is σ = 6388480. Its totient is φ = 547200.

The previous prime is 2129689. The next prime is 2129713. The reversal of 2129700 is 79212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9186 + ... + 9414.

22129700 is an apocalyptic number.

2129700 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 2129700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194240).

2129700 is an abundant number, since it is smaller than the sum of its proper divisors (4258780).

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

2129700 is a wasteful number, since it uses less digits than its factorization.

2129700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 2129700 is about 1459.3491700070. The cubic root of 2129700 is about 128.6587942362.

The spelling of 2129700 in words is "two million, one hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 229 300 310 372 458 465 620 687 775 916 930 1145 1374 1550 1860 2290 2325 2748 3100 3435 4580 4650 5725 6870 7099 9300 11450 13740 14198 17175 21297 22900 28396 34350 35495 42594 68700 70990 85188 106485 141980 177475 212970 354950 425940 532425 709900 1064850 2129700