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134896320 = 26335131201
BaseRepresentation
bin10000000101001…
…01101011000000
3100101211102222000
420002211223000
5234013140240
621215144000
73225412506
oct1002455300
9311742860
10134896320
116a166669
1239215000
1321c41310
1413cb6676
15bc99430
hex80a5ac0

134896320 has 224 divisors, whose sum is σ = 512917440. Its totient is φ = 33177600.

The previous prime is 134896301. The next prime is 134896327. The reversal of 134896320 is 23698431.

134896320 is a `hidden beast` number, since 13 + 4 + 8 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (134896327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111720 + ... + 112920.

It is an arithmetic number, because the mean of its divisors is an integer number (2289810).

Almost surely, 2134896320 is an apocalyptic number.

134896320 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 134896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256458720).

134896320 is an abundant number, since it is smaller than the sum of its proper divisors (378021120).

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

134896320 is a wasteful number, since it uses less digits than its factorization.

134896320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 134896320 is about 11614.4875048364. The cubic root of 134896320 is about 512.8614242165.

The spelling of 134896320 in words is "one hundred thirty-four million, eight hundred ninety-six thousand, three hundred twenty".