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134230560 = 2535299643
BaseRepresentation
bin10000000000000…
…11001000100000
3100100120121201020
420000003020200
5233330334220
621153005440
73216640512
oct1000031040
9310517636
10134230560
1169851452
1238b53880
1321a6a289
1413b81bb2
15bbb7040
hex8003220

134230560 has 96 divisors (see below), whose sum is σ = 437451840. Its totient is φ = 34556928.

The previous prime is 134230529. The next prime is 134230571. The reversal of 134230560 is 65032431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 134230560.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 9099 + ... + 18741.

It is an arithmetic number, because the mean of its divisors is an integer number (4556790).

Almost surely, 2134230560 is an apocalyptic number.

134230560 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 134230560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218725920).

134230560 is an abundant number, since it is smaller than the sum of its proper divisors (303221280).

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

134230560 is a wasteful number, since it uses less digits than its factorization.

134230560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9682 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 134230560 is about 11585.7912979649. The cubic root of 134230560 is about 512.0163162118.

Adding to 134230560 its reverse (65032431), we get a palindrome (199262991).

The spelling of 134230560 in words is "one hundred thirty-four million, two hundred thirty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2320 2784 3480 4640 6960 9643 13920 19286 28929 38572 48215 57858 77144 96430 115716 144645 154288 192860 231432 279647 289290 308576 385720 462864 559294 578580 771440 838941 925728 1118588 1157160 1398235 1542880 1677882 2237176 2314320 2796470 3355764 4194705 4474352 4628640 5592940 6711528 8389410 8948704 11185880 13423056 16778820 22371760 26846112 33557640 44743520 67115280 134230560