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128955240 = 2335513267
BaseRepresentation
bin1111010111110…
…11001101101000
322222122121100000
413223323031220
5231003031430
620443543000
73124046541
oct753731550
9288577300
10128955240
1166878a87
123722aa60
132094109b
14131ab4c8
15b4c3e60
hex7afb368

128955240 has 96 divisors (see below), whose sum is σ = 434659680. Its totient is φ = 34385472.

The previous prime is 128955187. The next prime is 128955293. The reversal of 128955240 is 42559821.

128955240 is a `hidden beast` number, since 128 + 9 + 5 + 524 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (128955187) and next prime (128955293).

It is a super-3 number, since 3×1289552403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 128955195 and 128955204.

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 23 ways as a sum of consecutive naturals, for example, 3087 + ... + 16353.

It is an arithmetic number, because the mean of its divisors is an integer number (4527705).

Almost surely, 2128955240 is an apocalyptic number.

128955240 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 128955240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217329840).

128955240 is an abundant number, since it is smaller than the sum of its proper divisors (305704440).

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

128955240 is a wasteful number, since it uses less digits than its factorization.

128955240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13293 (or 13277 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 128955240 is about 11355.8460715175. The cubic root of 128955240 is about 505.2189881207.

The spelling of 128955240 in words is "one hundred twenty-eight million, nine hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 13267 26534 39801 53068 66335 79602 106136 119403 132670 159204 199005 238806 265340 318408 358209 398010 477612 530680 597015 716418 796020 955224 1074627 1194030 1432836 1592040 1791045 2149254 2388060 2865672 3223881 3582090 4298508 4776120 5373135 6447762 7164180 8597016 10746270 12895524 14328360 16119405 21492540 25791048 32238810 42985080 64477620 128955240