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134242400 = 2552315413
BaseRepresentation
bin10000000000001…
…10000001100000
3100100121012221202
420000012001200
5233331224100
621153140332
73220020155
oct1000060140
9310535852
10134242400
116985a336
1238b5a6a8
1321a72796
1413b8622c
15bbba7d5
hex8006060

134242400 has 72 divisors (see below), whose sum is σ = 338353344. Its totient is φ = 51955200.

The previous prime is 134242393. The next prime is 134242403. The reversal of 134242400 is 4242431.

134242400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134242403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 22094 + ... + 27506.

It is an arithmetic number, because the mean of its divisors is an integer number (4699352).

Almost surely, 2134242400 is an apocalyptic number.

134242400 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 134242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169176672).

134242400 is an abundant number, since it is smaller than the sum of its proper divisors (204110944).

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

134242400 is a wasteful number, since it uses less digits than its factorization.

134242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5464 (or 5451 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 134242400 is about 11586.3022574072. The cubic root of 134242400 is about 512.0313701482.

Adding to 134242400 its reverse (4242431), we get a palindrome (138484831).

The spelling of 134242400 in words is "one hundred thirty-four million, two hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 80 100 124 155 160 200 248 310 400 496 620 775 800 992 1240 1550 2480 3100 4960 5413 6200 10826 12400 21652 24800 27065 43304 54130 86608 108260 135325 167803 173216 216520 270650 335606 433040 541300 671212 839015 866080 1082600 1342424 1678030 2165200 2684848 3356060 4195075 4330400 5369696 6712120 8390150 13424240 16780300 26848480 33560600 67121200 134242400