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128875440 = 24352337631
BaseRepresentation
bin1111010111001…
…11101110110000
322222111112212110
413223213232300
5230443003230
620442125320
73123265101
oct753475660
9288445773
10128875440
1166824031
12371b0840
1320913975
141318a3a8
15b4aa4b0
hex7ae7bb0

128875440 has 160 divisors (see below), whose sum is σ = 428829696. Its totient is φ = 31933440.

The previous prime is 128875421. The next prime is 128875447. The reversal of 128875440 is 44578821.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (128875447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 203925 + ... + 204555.

Almost surely, 2128875440 is an apocalyptic number.

128875440 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 128875440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214414848).

128875440 is an abundant number, since it is smaller than the sum of its proper divisors (299954256).

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

128875440 is a wasteful number, since it uses less digits than its factorization.

128875440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 128875440 is about 11352.3319190376. The cubic root of 128875440 is about 505.1147535188.

The spelling of 128875440 in words is "one hundred twenty-eight million, eight hundred seventy-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 37 40 46 48 60 69 74 80 92 111 115 120 138 148 184 185 222 230 240 276 296 345 368 370 444 460 552 555 592 631 690 740 851 888 920 1104 1110 1262 1380 1480 1702 1776 1840 1893 2220 2524 2553 2760 2960 3155 3404 3786 4255 4440 5048 5106 5520 6310 6808 7572 8510 8880 9465 10096 10212 12620 12765 13616 14513 15144 17020 18930 20424 23347 25240 25530 29026 30288 34040 37860 40848 43539 46694 50480 51060 58052 68080 70041 72565 75720 87078 93388 102120 116104 116735 140082 145130 151440 174156 186776 204240 217695 232208 233470 280164 290260 348312 350205 373552 435390 466940 536981 560328 580520 696624 700410 870780 933880 1073962 1120656 1161040 1400820 1610943 1741560 1867760 2147924 2684905 2801640 3221886 3483120 4295848 5369810 5603280 6443772 8054715 8591696 10739620 12887544 16109430 21479240 25775088 32218860 42958480 64437720 128875440