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134216080 = 2458771913
BaseRepresentation
bin1111111111111…
…11100110010000
3100100112212211221
413333333212100
5233324403310
621152414424
73216550345
oct777774620
9310485757
10134216080
1169841589
1238b47414
1321a637cb
1413b7a7cc
15bbb2ada
hex7fff990

134216080 has 40 divisors (see below), whose sum is σ = 312571512. Its totient is φ = 53597184.

The previous prime is 134216077. The next prime is 134216113. The reversal of 134216080 is 80612431.

It can be written as a sum of positive squares in 4 ways, for example, as 58247424 + 75968656 = 7632^2 + 8716^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1342160802 = 36027912261132800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69204 + ... + 71116.

Almost surely, 2134216080 is an apocalyptic number.

134216080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134216080 is an abundant number, since it is smaller than the sum of its proper divisors (178355432).

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

134216080 is a wasteful number, since it uses less digits than its factorization.

134216080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2803 (or 2797 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 134216080 is about 11585.1663777436. The cubic root of 134216080 is about 511.9979044511.

The spelling of 134216080 in words is "one hundred thirty-four million, two hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 877 1754 1913 3508 3826 4385 7016 7652 8770 9565 14032 15304 17540 19130 30608 35080 38260 70160 76520 153040 1677701 3355402 6710804 8388505 13421608 16777010 26843216 33554020 67108040 134216080