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2030688 = 253211641
BaseRepresentation
bin111101111110001100000
310211011120200
413233301200
51004440223
6111305200
723155242
oct7576140
93734520
102030688
111167760
1281b200
135613ba
143ac092
152a1a43
hex1efc60

2030688 has 72 divisors (see below), whose sum is σ = 6309576. Its totient is φ = 614400.

The previous prime is 2030683. The next prime is 2030711. The reversal of 2030688 is 8860302.

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 (2030683) 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, 2848 + ... + 3488.

It is an arithmetic number, because the mean of its divisors is an integer number (87633).

22030688 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 2030688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3154788).

2030688 is an abundant number, since it is smaller than the sum of its proper divisors (4278888).

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

2030688 is a wasteful number, since it uses less digits than its factorization.

2030688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2030688 is about 1425.0221050917. The cubic root of 2030688 is about 126.6332444907.

The spelling of 2030688 in words is "two million, thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 641 792 1056 1282 1584 1923 2564 3168 3846 5128 5769 7051 7692 10256 11538 14102 15384 20512 21153 23076 28204 30768 42306 46152 56408 61536 63459 84612 92304 112816 126918 169224 184608 225632 253836 338448 507672 676896 1015344 2030688