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128712240 = 243652207
BaseRepresentation
bin1111010101111…
…11111000110000
322222012021000000
413222333320300
5230422242430
620434430000
73122015226
oct752777060
9288167000
10128712240
1166722458
1237132300
13208875b7
1413146b16
15b476e60
hex7abfe30

128712240 has 140 divisors (see below), whose sum is σ = 448881984. Its totient is φ = 34307712.

The previous prime is 128712203. The next prime is 128712271. The reversal of 128712240 is 42217821.

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

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 57217 + ... + 59423.

Almost surely, 2128712240 is an apocalyptic number.

128712240 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 128712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224440992).

128712240 is an abundant number, since it is smaller than the sum of its proper divisors (320169744).

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

128712240 is an equidigital number, since it uses as much as digits as its factorization.

128712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2217 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 128712240 is about 11345.1416914907. The cubic root of 128712240 is about 504.9014479450.

The spelling of 128712240 in words is "one hundred twenty-eight million, seven hundred twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 243 270 324 360 405 432 486 540 648 720 729 810 972 1080 1215 1296 1458 1620 1944 2160 2207 2430 2916 3240 3645 3888 4414 4860 5832 6480 6621 7290 8828 9720 11035 11664 13242 14580 17656 19440 19863 22070 26484 29160 33105 35312 39726 44140 52968 58320 59589 66210 79452 88280 99315 105936 119178 132420 158904 176560 178767 198630 238356 264840 297945 317808 357534 397260 476712 529680 536301 595890 715068 794520 893835 953424 1072602 1191780 1430136 1589040 1608903 1787670 2145204 2383560 2681505 2860272 3217806 3575340 4290408 4767120 5363010 6435612 7150680 8044515 8580816 10726020 12871224 14301360 16089030 21452040 25742448 32178060 42904080 64356120 128712240