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134217930 = 23571197599
BaseRepresentation
bin10000000000000…
…00000011001010
3100100112222101110
420000000003022
5233324433210
621152431150
73216555630
oct1000000312
9310488343
10134217930
1169842a10
1238b484b6
1321a645c2
1413b7b350
15bbb3420
hex80000ca

134217930 has 128 divisors (see below), whose sum is σ = 406425600. Its totient is φ = 27555840.

The previous prime is 134217929. The next prime is 134217931. The reversal of 134217930 is 39712431.

It is an interprime number because it is at equal distance from previous prime (134217929) and next prime (134217931).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (134217931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223771 + ... + 224369.

It is an arithmetic number, because the mean of its divisors is an integer number (3175200).

Almost surely, 2134217930 is an apocalyptic number.

134217930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 134217930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203212800).

134217930 is an abundant number, since it is smaller than the sum of its proper divisors (272207670).

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

134217930 is a wasteful number, since it uses less digits than its factorization.

134217930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 134217930 is about 11585.2462209484. The cubic root of 134217930 is about 512.0002568562. Note that the first 3 decimals are identical.

The spelling of 134217930 in words is "one hundred thirty-four million, two hundred seventeen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 97 105 110 154 165 194 210 231 291 330 385 462 485 582 599 679 770 970 1067 1155 1198 1358 1455 1797 2037 2134 2310 2910 2995 3201 3395 3594 4074 4193 5335 5990 6402 6589 6790 7469 8386 8985 10185 10670 12579 13178 14938 16005 17970 19767 20370 20965 22407 25158 32010 32945 37345 39534 41930 44814 46123 58103 62895 65890 74690 92246 98835 112035 116206 125790 138369 174309 197670 224070 230615 276738 290515 348618 406721 461230 581030 639133 691845 813442 871545 1220163 1278266 1383690 1743090 1917399 2033605 2440326 3195665 3834798 4067210 4473931 6100815 6391330 8947862 9586995 12201630 13421793 19173990 22369655 26843586 44739310 67108965 134217930