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128140920 = 23335592011
BaseRepresentation
bin1111010001101…
…00011001111000
322221010020022000
413220310121320
5230301002140
620414301000
73114115455
oct750643170
9287106260
10128140920
1166372196
1236ab7760
132071753b
141303882c
15b3b2a30
hex7a34678

128140920 has 128 divisors (see below), whose sum is σ = 434592000. Its totient is φ = 33575040.

The previous prime is 128140891. The next prime is 128140939. The reversal of 128140920 is 29041821.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62715 + ... + 64725.

It is an arithmetic number, because the mean of its divisors is an integer number (3395250).

Almost surely, 2128140920 is an apocalyptic number.

128140920 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 128140920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217296000).

128140920 is an abundant number, since it is smaller than the sum of its proper divisors (306451080).

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

128140920 is a wasteful number, since it uses less digits than its factorization.

128140920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 128140920 is about 11319.9346287865. The cubic root of 128140920 is about 504.1532980389.

Subtracting from 128140920 its reverse (29041821), we obtain a palindrome (99099099).

The spelling of 128140920 in words is "one hundred twenty-eight million, one hundred forty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 59 60 72 90 108 118 120 135 177 180 216 236 270 295 354 360 472 531 540 590 708 885 1062 1080 1180 1416 1593 1770 2011 2124 2360 2655 3186 3540 4022 4248 5310 6033 6372 7080 7965 8044 10055 10620 12066 12744 15930 16088 18099 20110 21240 24132 30165 31860 36198 40220 48264 54297 60330 63720 72396 80440 90495 108594 118649 120660 144792 180990 217188 237298 241320 271485 355947 361980 434376 474596 542970 593245 711894 723960 949192 1067841 1085940 1186490 1423788 1779735 2135682 2171880 2372980 2847576 3203523 3559470 4271364 4745960 5339205 6407046 7118940 8542728 10678410 12814092 14237880 16017615 21356820 25628184 32035230 42713640 64070460 128140920