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134283520 = 285722141
BaseRepresentation
bin10000000000100…
…00000100000000
3100100200022100201
420000100010000
5233334033040
621154054544
73220251100
oct1000200400
9310608321
10134283520
1169888218
1238b7a454
1321a88407
1413b97200
15bbc7a9a
hex8010100

134283520 has 108 divisors (see below), whose sum is σ = 374340204. Its totient is φ = 46018560.

The previous prime is 134283511. The next prime is 134283521. The reversal of 134283520 is 25382431.

It can be written as a sum of positive squares in 2 ways, for example, as 94945536 + 39337984 = 9744^2 + 6272^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (134283521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61650 + ... + 63790.

It is an arithmetic number, because the mean of its divisors is an integer number (3466113).

Almost surely, 2134283520 is an apocalyptic number.

134283520 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 134283520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187170102).

134283520 is an abundant number, since it is smaller than the sum of its proper divisors (240056684).

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

134283520 is an equidigital number, since it uses as much as digits as its factorization.

134283520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 134283520 is about 11588.0766307442. The cubic root of 134283520 is about 512.0836451883.

The spelling of 134283520 in words is "one hundred thirty-four million, two hundred eighty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 560 640 784 896 980 1120 1280 1568 1792 1960 2141 2240 3136 3920 4282 4480 6272 7840 8564 8960 10705 12544 14987 15680 17128 21410 29974 31360 34256 42820 59948 62720 68512 74935 85640 104909 119896 137024 149870 171280 209818 239792 274048 299740 342560 419636 479584 524545 548096 599480 685120 839272 959168 1049090 1198960 1370240 1678544 1918336 2098180 2397920 2740480 3357088 3836672 4196360 4795840 6714176 8392720 9591680 13428352 16785440 19183360 26856704 33570880 67141760 134283520