Search a number
-
+
134753600 = 265284221
BaseRepresentation
bin10000000100000…
…10110101000000
3100101120012012002
420002002311000
5233444103400
621212123132
73224246432
oct1002026500
9311505162
10134753600
116a079413
12391664a8
1321bc1377
1413c7a652
15bc6bed5
hex8082d40

134753600 has 42 divisors (see below), whose sum is σ = 331582014. Its totient is φ = 53900800.

The previous prime is 134753599. The next prime is 134753603. The reversal of 134753600 is 6357431.

It can be written as a sum of positive squares in 3 ways, for example, as 43665664 + 91087936 = 6608^2 + 9544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134753603) 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 5 ways as a sum of consecutive naturals, for example, 40511 + ... + 43710.

Almost surely, 2134753600 is an apocalyptic number.

134753600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134753600 is an abundant number, since it is smaller than the sum of its proper divisors (196828414).

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

134753600 is an equidigital number, since it uses as much as digits as its factorization.

134753600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84243 (or 84228 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 29.

The square root of 134753600 is about 11608.3418281855. The cubic root of 134753600 is about 512.6804916523.

The spelling of 134753600 in words is "one hundred thirty-four million, seven hundred fifty-three thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 84221 168442 336884 421105 673768 842210 1347536 1684420 2105525 2695072 3368840 4211050 5390144 6737680 8422100 13475360 16844200 26950720 33688400 67376800 134753600