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128623000 = 23531121063
BaseRepresentation
bin1111010101010…
…10000110011000
322222000201120211
413222222012120
5230411414000
620432500504
73121164112
oct752520630
9288021524
10128623000
1166671400
12370aa734
1320855aac
14131223b2
15b45a7ba
hex7aaa198

128623000 has 96 divisors (see below), whose sum is σ = 331138080. Its totient is φ = 46728000.

The previous prime is 128622979. The next prime is 128623013. The reversal of 128623000 is 326821.

It is a super-2 number, since 2×1286230002 = 33087752258000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120469 + ... + 121531.

It is an arithmetic number, because the mean of its divisors is an integer number (3449355).

Almost surely, 2128623000 is an apocalyptic number.

128623000 is a gapful number since it is divisible by the number (10) 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 128623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165569040).

128623000 is an abundant number, since it is smaller than the sum of its proper divisors (202515080).

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

128623000 is a wasteful number, since it uses less digits than its factorization.

128623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 128623000 is about 11341.2080485282. The cubic root of 128623000 is about 504.7847332683.

Adding to 128623000 its reverse (326821), we get a palindrome (128949821).

The spelling of 128623000 in words is "one hundred twenty-eight million, six hundred twenty-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1063 1100 1210 1375 2126 2200 2420 2750 3025 4252 4840 5315 5500 6050 8504 10630 11000 11693 12100 15125 21260 23386 24200 26575 30250 42520 46772 53150 58465 60500 93544 106300 116930 121000 128623 132875 212600 233860 257246 265750 292325 467720 514492 531500 584650 643115 1028984 1063000 1169300 1286230 1461625 2338600 2572460 2923250 3215575 5144920 5846500 6431150 11693000 12862300 16077875 25724600 32155750 64311500 128623000