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134224680 = 23352634253
BaseRepresentation
bin10000000000000…
…01101100101000
3100100120022122110
420000001230220
5233330142210
621152522320
73216614412
oct1000015450
9310508573
10134224680
1169847a97
1238b503a0
1321a676b5
1413b7d9b2
15bbb5420
hex8001b28

134224680 has 64 divisors (see below), whose sum is σ = 404300160. Its totient is φ = 35648768.

The previous prime is 134224667. The next prime is 134224687. The reversal of 134224680 is 86422431.

It is a super-2 number, since 2×1342246802 = 36032529442204800, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (134224687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29434 + ... + 33686.

It is an arithmetic number, because the mean of its divisors is an integer number (6317190).

Almost surely, 2134224680 is an apocalyptic number.

134224680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202150080).

134224680 is an abundant number, since it is smaller than the sum of its proper divisors (270075480).

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

134224680 is a wasteful number, since it uses less digits than its factorization.

134224680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 134224680 is about 11585.5375360835. The cubic root of 134224680 is about 512.0088397725.

The spelling of 134224680 in words is "one hundred thirty-four million, two hundred twenty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 526 789 1052 1315 1578 2104 2630 3156 3945 4253 5260 6312 7890 8506 10520 12759 15780 17012 21265 25518 31560 34024 42530 51036 63795 85060 102072 127590 170120 255180 510360 1118539 2237078 3355617 4474156 5592695 6711234 8948312 11185390 13422468 16778085 22370780 26844936 33556170 44741560 67112340 134224680