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128195460 = 2234579133
BaseRepresentation
bin1111010010000…
…01101110000100
322221020000010000
413221001232010
5230304223320
620415401300
73114433461
oct751015604
9287200100
10128195460
11663aa168
1236b23230
1320736303
1413050668
15b3c3c90
hex7a41b84

128195460 has 60 divisors (see below), whose sum is σ = 402158988. Its totient is φ = 34185024.

The previous prime is 128195443. The next prime is 128195471. The reversal of 128195460 is 64591821.

128195460 is a `hidden beast` number, since 1 + 2 + 8 + 195 + 460 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85266756 + 42928704 = 9234^2 + 6552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1281954602 = 32868151929223200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 37947 + ... + 41186.

Almost surely, 2128195460 is an apocalyptic number.

128195460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128195460 is an abundant number, since it is smaller than the sum of its proper divisors (273963528).

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

128195460 is a wasteful number, since it uses less digits than its factorization.

128195460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79154 (or 79143 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 128195460 is about 11322.3433970181. The cubic root of 128195460 is about 504.2248146701.

The spelling of 128195460 in words is "one hundred twenty-eight million, one hundred ninety-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 79133 158266 237399 316532 395665 474798 712197 791330 949596 1186995 1424394 1582660 2136591 2373990 2848788 3560985 4273182 4747980 6409773 7121970 8546364 10682955 12819546 14243940 21365910 25639092 32048865 42731820 64097730 128195460