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7000128 = 26334051
BaseRepresentation
bin11010101101000001000000
3111011122101000
4122231001000
53243001003
6410012000
7113333352
oct32550100
914148330
107000128
113a51333
122417000
1315b12b5
14d030d2
159341a3
hex6ad040

7000128 has 56 divisors (see below), whose sum is σ = 20584160. Its totient is φ = 2332800.

The previous prime is 7000127. The next prime is 7000129. The reversal of 7000128 is 8210007.

It is an interprime number because it is at equal distance from previous prime (7000127) and next prime (7000129).

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 7000128.

It is not an unprimeable number, because it can be changed into a prime (7000121) 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, 298 + ... + 3753.

Almost surely, 27000128 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 7000128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10292080).

7000128 is an abundant number, since it is smaller than the sum of its proper divisors (13584032).

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

7000128 is a wasteful number, since it uses less digits than its factorization.

7000128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4072 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 7000128 is about 2645.7755006803. The cubic root of 7000128 is about 191.2942842472.

The spelling of 7000128 in words is "seven million, one hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 4051 8102 12153 16204 24306 32408 36459 48612 64816 72918 97224 109377 129632 145836 194448 218754 259264 291672 388896 437508 583344 777792 875016 1166688 1750032 2333376 3500064 7000128