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2126208 = 27372113
BaseRepresentation
bin1000000111000110000000
311000000121110
420013012000
51021014313
6113323320
724033600
oct10070600
94000543
102126208
1112224a7
12866540
13595a16
143d4c00
152beec3
hex207180

2126208 has 96 divisors (see below), whose sum is σ = 6627960. Its totient is φ = 602112.

The previous prime is 2126203. The next prime is 2126213. The reversal of 2126208 is 8026212.

It is an interprime number because it is at equal distance from previous prime (2126203) and next prime (2126213).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2126203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18760 + ... + 18872.

22126208 is an apocalyptic number.

2126208 is a gapful number since it is divisible by the number (28) 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 2126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313980).

2126208 is an abundant number, since it is smaller than the sum of its proper divisors (4501752).

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

2126208 is a wasteful number, since it uses less digits than its factorization.

2126208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2126208 is about 1458.1522554247. The cubic root of 2126208 is about 128.5884365507.

The spelling of 2126208 in words is "two million, one hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 113 128 147 168 192 196 224 226 294 336 339 384 392 448 452 588 672 678 784 791 896 904 1176 1344 1356 1568 1582 1808 2352 2373 2688 2712 3136 3164 3616 4704 4746 5424 5537 6272 6328 7232 9408 9492 10848 11074 12656 14464 16611 18816 18984 21696 22148 25312 33222 37968 43392 44296 50624 66444 75936 88592 101248 132888 151872 177184 265776 303744 354368 531552 708736 1063104 2126208