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128442240 = 273357433
BaseRepresentation
bin1111010011111…
…01111110000000
322221200112122000
413221331332000
5230340122430
620424544000
73116512113
oct751757600
9287615560
10128442240
1166558613
1237022000
13207c1734
14130b657a
15b421e60
hex7a7df80

128442240 has 128 divisors (see below), whose sum is σ = 454960800. Its totient is φ = 34246656.

The previous prime is 128442239. The next prime is 128442253. The reversal of 128442240 is 42244821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 13564 + ... + 20996.

Almost surely, 2128442240 is an apocalyptic number.

128442240 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 128442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227480400).

128442240 is an abundant number, since it is smaller than the sum of its proper divisors (326518560).

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

128442240 is an equidigital number, since it uses as much as digits as its factorization.

128442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461 (or 7443 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 128442240 is about 11333.2360780141. The cubic root of 128442240 is about 504.5481564368.

The spelling of 128442240 in words is "one hundred twenty-eight million, four hundred forty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 7433 8640 14866 17280 22299 29732 37165 44598 59464 66897 74330 89196 111495 118928 133794 148660 178392 200691 222990 237856 267588 297320 334485 356784 401382 445980 475712 535176 594640 668970 713568 802764 891960 951424 1003455 1070352 1189280 1337940 1427136 1605528 1783920 2006910 2140704 2378560 2675880 2854272 3211056 3567840 4013820 4281408 4757120 5351760 6422112 7135680 8027640 8562816 10703520 12844224 14271360 16055280 21407040 25688448 32110560 42814080 64221120 128442240