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128352240 = 24325892003
BaseRepresentation
bin1111010011001…
…11111111110000
322221111222011200
413221213333300
5230324232430
620423011200
73115655532
oct751477760
9287458150
10128352240
11664a6a35
1236b99b00
132078c793
1413091852
15b405460
hex7a67ff0

128352240 has 120 divisors (see below), whose sum is σ = 436110480. Its totient is φ = 33825792.

The previous prime is 128352233. The next prime is 128352241. The reversal of 128352240 is 42253821.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128352241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63079 + ... + 65081.

It is an arithmetic number, because the mean of its divisors is an integer number (3634254).

Almost surely, 2128352240 is an apocalyptic number.

128352240 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 128352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218055240).

128352240 is an abundant number, since it is smaller than the sum of its proper divisors (307758240).

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

128352240 is a wasteful number, since it uses less digits than its factorization.

128352240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 128352240 is about 11329.2647599039. The cubic root of 128352240 is about 504.4302825858.

The spelling of 128352240 in words is "one hundred twenty-eight million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 89 90 120 144 178 180 240 267 356 360 445 534 712 720 801 890 1068 1335 1424 1602 1780 2003 2136 2670 3204 3560 4005 4006 4272 5340 6009 6408 7120 8010 8012 10015 10680 12018 12816 16020 16024 18027 20030 21360 24036 30045 32040 32048 36054 40060 48072 60090 64080 72108 80120 90135 96144 120180 144216 160240 178267 180270 240360 288432 356534 360540 480720 534801 713068 721080 891335 1069602 1426136 1442160 1604403 1782670 2139204 2674005 2852272 3208806 3565340 4278408 5348010 6417612 7130680 8022015 8556816 10696020 12835224 14261360 16044030 21392040 25670448 32088060 42784080 64176120 128352240