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2140128 = 25332477
BaseRepresentation
bin1000001010011111100000
311000201201000
420022133200
51021441003
6113512000
724122304
oct10123740
94021630
102140128
111231a01
12872600
1359c163
143d9d04
152c41a3
hex20a7e0

2140128 has 48 divisors (see below), whose sum is σ = 6244560. Its totient is φ = 713088.

The previous prime is 2140121. The next prime is 2140129. The reversal of 2140128 is 8210412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 2140128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 375 + ... + 2102.

It is an arithmetic number, because the mean of its divisors is an integer number (130095).

22140128 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 2140128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3122280).

2140128 is an abundant number, since it is smaller than the sum of its proper divisors (4104432).

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

2140128 is a wasteful number, since it uses less digits than its factorization.

2140128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2482 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2140128 is about 1462.9176326779. The cubic root of 2140128 is about 128.8684434914.

The spelling of 2140128 in words is "two million, one hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2477 4954 7431 9908 14862 19816 22293 29724 39632 44586 59448 66879 79264 89172 118896 133758 178344 237792 267516 356688 535032 713376 1070064 2140128