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134503400 = 23525312689
BaseRepresentation
bin10000000010001…
…01101111101000
3100101002110222102
420001011233220
5233413102100
621202512532
73222155123
oct1001055750
9311073872
10134503400
1169a18439
1239065748
1321b34515
1413c133ba
15bc1ccd5
hex8045be8

134503400 has 48 divisors (see below), whose sum is σ = 318645900. Its totient is φ = 52782080.

The previous prime is 134503373. The next prime is 134503423. The reversal of 134503400 is 4305431.

It can be written as a sum of positive squares in 6 ways, for example, as 35022724 + 99480676 = 5918^2 + 9974^2 .

It is a super-2 number, since 2×1345034002 = 36182329223120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4256 + ... + 16944.

Almost surely, 2134503400 is an apocalyptic number.

134503400 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 134503400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159322950).

134503400 is an abundant number, since it is smaller than the sum of its proper divisors (184142500).

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

134503400 is a wasteful number, since it uses less digits than its factorization.

134503400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12758 (or 12749 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 134503400 is about 11597.5600882255. The cubic root of 134503400 is about 512.3629933197.

Adding to 134503400 its reverse (4305431), we get a palindrome (138808831).

The spelling of 134503400 in words is "one hundred thirty-four million, five hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 200 212 265 424 530 1060 1325 2120 2650 5300 10600 12689 25378 50756 63445 101512 126890 253780 317225 507560 634450 672517 1268900 1345034 2537800 2690068 3362585 5380136 6725170 13450340 16812925 26900680 33625850 67251700 134503400