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128748960 = 2533529803
BaseRepresentation
bin1111010110010…
…00110110100000
322222021010101000
413223020312200
5230424431320
620435312000
73122230254
oct753106640
9288233330
10128748960
1166747aaa
123714b600
132089b222
1413156264
15b482c90
hex7ac8da0

128748960 has 96 divisors (see below), whose sum is σ = 450636480. Its totient is φ = 34331904.

The previous prime is 128748943. The next prime is 128748967. The reversal of 128748960 is 69847821.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128748967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10582 + ... + 19221.

It is an arithmetic number, because the mean of its divisors is an integer number (4694130).

Almost surely, 2128748960 is an apocalyptic number.

128748960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128748960 is an abundant number, since it is smaller than the sum of its proper divisors (321887520).

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

128748960 is a wasteful number, since it uses less digits than its factorization.

128748960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29827 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 128748960 is about 11346.7598899422. The cubic root of 128748960 is about 504.9494574126.

The spelling of 128748960 in words is "one hundred twenty-eight million, seven hundred forty-eight thousand, nine hundred sixty".

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 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 29803 59606 89409 119212 149015 178818 238424 268227 298030 357636 447045 476848 536454 596060 715272 804681 894090 953696 1072908 1192120 1341135 1430544 1609362 1788180 2145816 2384240 2682270 2861088 3218724 3576360 4023405 4291632 4768480 5364540 6437448 7152720 8046810 8583264 10729080 12874896 14305440 16093620 21458160 25749792 32187240 42916320 64374480 128748960