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134847468 = 223271731477
BaseRepresentation
bin10000000100110…
…01101111101100
3100101201221221200
420002121233230
5234010104333
621214125500
73225120210
oct1002315754
9311657850
10134847468
116a132998
12391b0890
1321c25002
1413ca2940
15bc89c13
hex8099bec

134847468 has 72 divisors (see below), whose sum is σ = 412487712. Its totient is φ = 36260352.

The previous prime is 134847467. The next prime is 134847469. The reversal of 134847468 is 864748431.

134847468 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (134847467) and next prime (134847469).

It is a super-2 number, since 2×1348474682 = 36367679252022048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134847467) 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 23 ways as a sum of consecutive naturals, for example, 11455 + ... + 20022.

It is an arithmetic number, because the mean of its divisors is an integer number (5728996).

Almost surely, 2134847468 is an apocalyptic number.

134847468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

134847468 is an abundant number, since it is smaller than the sum of its proper divisors (277640244).

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

134847468 is a wasteful number, since it uses less digits than its factorization.

134847468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31511 (or 31506 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 134847468 is about 11612.3842513069. The cubic root of 134847468 is about 512.7995067099.

The spelling of 134847468 in words is "one hundred thirty-four million, eight hundred forty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 4284 31477 62954 94431 125908 188862 220339 283293 377724 440678 535109 566586 661017 881356 1070218 1133172 1322034 1605327 1983051 2140436 2644068 3210654 3745763 3966102 4815981 6421308 7491526 7932204 9631962 11237289 14983052 19263924 22474578 33711867 44949156 67423734 134847468