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134217928 = 23134131477
BaseRepresentation
bin10000000000000…
…00000011001000
3100100112222101101
420000000003020
5233324433203
621152431144
73216555625
oct1000000310
9310488341
10134217928
1169842a09
1238b484b4
1321a645c0
1413b7b34c
15bbb341d
hex80000c8

134217928 has 32 divisors (see below), whose sum is σ = 277635960. Its totient is φ = 60433920.

The previous prime is 134217917. The next prime is 134217929. The reversal of 134217928 is 829712431.

It can be written as a sum of positive squares in 4 ways, for example, as 66945124 + 67272804 = 8182^2 + 8202^2 .

It is a super-2 number, since 2×1342179282 = 36028904393226368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (134217929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11475 + ... + 20002.

Almost surely, 2134217928 is an apocalyptic number.

It is an amenable number.

134217928 is an abundant number, since it is smaller than the sum of its proper divisors (143418032).

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

134217928 is a wasteful number, since it uses less digits than its factorization.

134217928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31537 (or 31533 counting only the distinct ones).

The product of its digits is 24192, while the sum is 37.

The square root of 134217928 is about 11585.2461346318. The cubic root of 134217928 is about 512.0002543130. Note that the first 3 decimals are identical.

The spelling of 134217928 in words is "one hundred thirty-four million, two hundred seventeen thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 26 41 52 82 104 164 328 533 1066 2132 4264 31477 62954 125908 251816 409201 818402 1290557 1636804 2581114 3273608 5162228 10324456 16777241 33554482 67108964 134217928