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2128608 = 253219389
BaseRepresentation
bin1000000111101011100000
311000010220100
420013223200
51021103413
6113342400
724043566
oct10075340
94003810
102128608
111224289
12867a00
13596b41
143d5a36
152c0a73
hex207ae0

2128608 has 72 divisors (see below), whose sum is σ = 6388200. Its totient is φ = 670464.

The previous prime is 2128603. The next prime is 2128631. The reversal of 2128608 is 8068212.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128601) 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, 5278 + ... + 5666.

It is an arithmetic number, because the mean of its divisors is an integer number (88725).

22128608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2128608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3194100).

2128608 is an abundant number, since it is smaller than the sum of its proper divisors (4259592).

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

2128608 is a wasteful number, since it uses less digits than its factorization.

2128608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 2128608 is about 1458.9749826505. The cubic root of 2128608 is about 128.6368006184.

The spelling of 2128608 in words is "two million, one hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 389 456 608 684 778 912 1167 1368 1556 1824 2334 2736 3112 3501 4668 5472 6224 7002 7391 9336 12448 14004 14782 18672 22173 28008 29564 37344 44346 56016 59128 66519 88692 112032 118256 133038 177384 236512 266076 354768 532152 709536 1064304 2128608