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134447040 = 2635571319
BaseRepresentation
bin10000000001101…
…11111111000000
3100100222121200000
420000313333000
5233404301130
621201400000
73221531610
oct1000677700
9310877600
10134447040
116998a062
1239039000
1321b14980
1413bdaa40
15bc0b260
hex8037fc0

134447040 has 672 divisors, whose sum is σ = 621304320. Its totient is φ = 26873856.

The previous prime is 134447039. The next prime is 134447041. The reversal of 134447040 is 40744431.

It is an interprime number because it is at equal distance from previous prime (134447039) and next prime (134447041).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 134446995 and 134447013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134447041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7076151 + ... + 7076169.

It is an arithmetic number, because the mean of its divisors is an integer number (924560).

Almost surely, 2134447040 is an apocalyptic number.

134447040 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 134447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310652160).

134447040 is an abundant number, since it is smaller than the sum of its proper divisors (486857280).

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

134447040 is a wasteful number, since it uses less digits than its factorization.

134447040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 134447040 is about 11595.1300122077. The cubic root of 134447040 is about 512.2914193853.

It can be divided in two parts, 1344 and 47040, that added together give a palindrome (48384).

The spelling of 134447040 in words is "one hundred thirty-four million, four hundred forty-seven thousand, forty".