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64134080 = 265296911
BaseRepresentation
bin1111010010100…
…1101111000000
311110200100102022
43310221233000
5112404242310
610210341012
71406062553
oct364515700
9143610368
1064134080
113322497a
121958a768
131039687a
14873669a
15596ca55
hex3d29bc0

64134080 has 56 divisors (see below), whose sum is σ = 158008320. Its totient is φ = 24765440.

The previous prime is 64134067. The next prime is 64134107. The reversal of 64134080 is 8043146.

64134080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×641340802 = 8226360434892800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5825 + ... + 12735.

Almost surely, 264134080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79004160).

64134080 is an abundant number, since it is smaller than the sum of its proper divisors (93874240).

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

64134080 is a wasteful number, since it uses less digits than its factorization.

64134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 64134080 is about 8008.3756155665. The cubic root of 64134080 is about 400.2791384923.

The spelling of 64134080 in words is "sixty-four million, one hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 6911 9280 13822 27644 34555 55288 69110 110576 138220 200419 221152 276440 400838 442304 552880 801676 1002095 1105760 1603352 2004190 2211520 3206704 4008380 6413408 8016760 12826816 16033520 32067040 64134080