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1309453128 = 233774843
BaseRepresentation
bin100111000001100…
…1010101101001000
310101020222010000000
41032003022231020
510140210000003
6333534043000
744310111414
oct11603125510
93336863000
101309453128
11612174575
12306649460
1317b397949
14c5ca1d44
1579e5b1a3
hex4e0cab48

1309453128 has 64 divisors (see below), whose sum is σ = 3682324800. Its totient is φ = 436478544.

The previous prime is 1309453091. The next prime is 1309453163. The reversal of 1309453128 is 8213549031.

1309453128 is a `hidden beast` number, since 1 + 30 + 94 + 531 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1309453092 and 1309453101.

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, 19926 + ... + 54917.

It is an arithmetic number, because the mean of its divisors is an integer number (57536325).

Almost surely, 21309453128 is an apocalyptic number.

1309453128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1309453128 is an abundant number, since it is smaller than the sum of its proper divisors (2372871672).

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

1309453128 is an frugal number, since it uses more digits than its factorization.

1309453128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74870 (or 74848 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1309453128 is about 36186.3666040126. The cubic root of 1309453128 is about 1094.0319009622.

The spelling of 1309453128 in words is "one billion, three hundred nine million, four hundred fifty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2187 2916 4374 5832 8748 17496 74843 149686 224529 299372 449058 598744 673587 898116 1347174 1796232 2020761 2694348 4041522 5388696 6062283 8083044 12124566 16166088 18186849 24249132 36373698 48498264 54560547 72747396 109121094 145494792 163681641 218242188 327363282 436484376 654726564 1309453128