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64071540 = 22335139127
BaseRepresentation
bin1111010001101…
…0011101110100
311110120011122000
43310122131310
5112400242130
610205135300
71405412331
oct364323564
9143504560
1064071540
1133191995
121955a530
1310374270
14871b988
155959260
hex3d1a774

64071540 has 96 divisors (see below), whose sum is σ = 214690560. Its totient is φ = 15769728.

The previous prime is 64071517. The next prime is 64071559. The reversal of 64071540 is 4517046.

64071540 = 2323 + 2333 + ... + 2363.

64071540 is a `hidden beast` number, since 640 + 7 + 15 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2457 + ... + 11583.

It is an arithmetic number, because the mean of its divisors is an integer number (2236360).

Almost surely, 264071540 is an apocalyptic number.

64071540 is a gapful number since it is divisible by the number (60) 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 64071540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107345280).

64071540 is an abundant number, since it is smaller than the sum of its proper divisors (150619020).

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

64071540 is a wasteful number, since it uses less digits than its factorization.

64071540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9158 (or 9150 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 64071540 is about 8004.4700011931. The cubic root of 64071540 is about 400.1489861676.

Adding to 64071540 its reverse (4517046), we get a palindrome (68588586).

The spelling of 64071540 in words is "sixty-four million, seventy-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 9127 18254 27381 36508 45635 54762 82143 91270 109524 118651 136905 164286 182540 237302 246429 273810 328572 355953 410715 474604 492858 547620 593255 711906 821430 985716 1067859 1186510 1232145 1423812 1642860 1779765 2135718 2373020 2464290 3203577 3559530 4271436 4928580 5339295 6407154 7119060 10678590 12814308 16017885 21357180 32035770 64071540