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64817040 = 2435270071
BaseRepresentation
bin1111011101000…
…0011110010000
311111222001021010
43313100132100
5113043121130
610233130520
71414635651
oct367203620
9144861233
1064817040
1133651002
1219859a40
13105756a2
148873528
155a550b0
hex3dd0790

64817040 has 40 divisors (see below), whose sum is σ = 200933568. Its totient is φ = 17284480.

The previous prime is 64817017. The next prime is 64817041. The reversal of 64817040 is 4071846.

64817040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 64816989 and 64817007.

It is not an unprimeable number, because it can be changed into a prime (64817041) by changing a digit.

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, 134796 + ... + 135275.

Almost surely, 264817040 is an apocalyptic number.

64817040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64817040 is an abundant number, since it is smaller than the sum of its proper divisors (136116528).

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

64817040 is a wasteful number, since it uses less digits than its factorization.

64817040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270087 (or 270081 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 64817040 is about 8050.9030549374. The cubic root of 64817040 is about 401.6949741781.

Adding to 64817040 its reverse (4071846), we get a palindrome (68888886).

The spelling of 64817040 in words is "sixty-four million, eight hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 270071 540142 810213 1080284 1350355 1620426 2160568 2700710 3240852 4051065 4321136 5401420 6481704 8102130 10802840 12963408 16204260 21605680 32408520 64817040