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134215680 = 2113517257
BaseRepresentation
bin1111111111111…
…11100000000000
3100100112212022010
413333333200000
5233324400210
621152412520
73216546234
oct777774000
9310485263
10134215680
1169841255
1238b47140
1321a63581
1413b7a5c4
15bbb2920
hex7fff800

134215680 has 192 divisors, whose sum is σ = 456412320. Its totient is φ = 33554432.

The previous prime is 134215643. The next prime is 134215681. The reversal of 134215680 is 86512431.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1028 × 1020 × 128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134215681) by changing a digit.

In principle, a polygon with 134215680 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 522112 + ... + 522368.

Almost surely, 2134215680 is an apocalyptic number.

134215680 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 134215680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228206160).

134215680 is an abundant number, since it is smaller than the sum of its proper divisors (322196640).

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

134215680 is a wasteful number, since it uses less digits than its factorization.

134215680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 134215680 is about 11585.1491142756. The cubic root of 134215680 is about 511.9973958201.

The spelling of 134215680 in words is "one hundred thirty-four million, two hundred fifteen thousand, six hundred eighty".