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128568480 = 2535614391
BaseRepresentation
bin1111010100111…
…00110010100000
322221220221210120
413222130302200
5230403142410
620431400240
73120546135
oct752346240
9287827716
10128568480
1166634447
1237083080
1320837031
141310a58c
15b449570
hex7a9cca0

128568480 has 96 divisors (see below), whose sum is σ = 411723648. Its totient is φ = 33715200.

The previous prime is 128568469. The next prime is 128568491. The reversal of 128568480 is 84865821.

It is an interprime number because it is at equal distance from previous prime (128568469) and next prime (128568491).

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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, 27085 + ... + 31475.

It is an arithmetic number, because the mean of its divisors is an integer number (4288788).

Almost surely, 2128568480 is an apocalyptic number.

128568480 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 128568480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205861824).

128568480 is an abundant number, since it is smaller than the sum of its proper divisors (283155168).

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

128568480 is a wasteful number, since it uses less digits than its factorization.

128568480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4470 (or 4462 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 128568480 is about 11338.8041697526. The cubic root of 128568480 is about 504.7134014094.

The spelling of 128568480 in words is "one hundred twenty-eight million, five hundred sixty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4391 4880 5856 7320 8782 9760 13173 14640 17564 21955 26346 29280 35128 43910 52692 65865 70256 87820 105384 131730 140512 175640 210768 263460 267851 351280 421536 526920 535702 702560 803553 1053840 1071404 1339255 1607106 2107680 2142808 2678510 3214212 4017765 4285616 5357020 6428424 8035530 8571232 10714040 12856848 16071060 21428080 25713696 32142120 42856160 64284240 128568480