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1428806160 = 243251984453
BaseRepresentation
bin101010100101001…
…1101101000010000
310200120112212120200
41111022131220100
510411233244120
6353440135200
750256436425
oct12512355020
93616485520
101428806160
11673584241
1233a607500
1319a026242
14d7a8dd4c
1585684e90
hex5529da10

1428806160 has 60 divisors (see below), whose sum is σ = 4798409772. Its totient is φ = 381014784.

The previous prime is 1428806129. The next prime is 1428806167. The reversal of 1428806160 is 616088241.

1428806160 is a `hidden beast` number, since 14 + 28 + 8 + 0 + 616 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 893531664 + 535274496 = 29892^2 + 23136^2 .

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

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

It is not an unprimeable number, because it can be changed into a prime (1428806167) 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 11 ways as a sum of consecutive naturals, for example, 991507 + ... + 992946.

Almost surely, 21428806160 is an apocalyptic number.

1428806160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1428806160 is an abundant number, since it is smaller than the sum of its proper divisors (3369603612).

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

1428806160 is a wasteful number, since it uses less digits than its factorization.

1428806160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984472 (or 1984463 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1428806160 is about 37799.5523783020. The cubic root of 1428806160 is about 1126.3095624126.

The spelling of 1428806160 in words is "one billion, four hundred twenty-eight million, eight hundred six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1984453 3968906 5953359 7937812 9922265 11906718 15875624 17860077 19844530 23813436 29766795 31751248 35720154 39689060 47626872 59533590 71440308 79378120 89300385 95253744 119067180 142880616 158756240 178600770 238134360 285761232 357201540 476268720 714403080 1428806160