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64240000 = 27541173
BaseRepresentation
bin1111010100001…
…1100110000000
311110212201201021
43311003212000
5112421140000
610212515224
71410013426
oct365034600
9143781637
1064240000
1133297510
121961bb14
1310402b46
148763116
15598e11a
hex3d43980

64240000 has 160 divisors (see below), whose sum is σ = 176849640. Its totient is φ = 23040000.

The previous prime is 64239997. The next prime is 64240013. The reversal of 64240000 is 4246.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 879964 + ... + 880036.

Almost surely, 264240000 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 64240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88424820).

64240000 is an abundant number, since it is smaller than the sum of its proper divisors (112609640).

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

64240000 is an equidigital number, since it uses as much as digits as its factorization.

64240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 64240000 is about 8014.9859638056. The cubic root of 64240000 is about 400.4993762988.

Adding to 64240000 its reverse (4246), we get a palindrome (64244246).

The spelling of 64240000 in words is "sixty-four million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 73 80 88 100 110 125 128 146 160 176 200 220 250 275 292 320 352 365 400 440 500 550 584 625 640 704 730 800 803 880 1000 1100 1168 1250 1375 1408 1460 1600 1606 1760 1825 2000 2200 2336 2500 2750 2920 3200 3212 3520 3650 4000 4015 4400 4672 5000 5500 5840 6424 6875 7040 7300 8000 8030 8800 9125 9344 10000 11000 11680 12848 13750 14600 16000 16060 17600 18250 20000 20075 22000 23360 25696 27500 29200 32120 35200 36500 40000 40150 44000 45625 46720 51392 55000 58400 64240 73000 80000 80300 88000 91250 100375 102784 110000 116800 128480 146000 160600 176000 182500 200750 220000 233600 256960 292000 321200 365000 401500 440000 501875 513920 584000 642400 730000 803000 880000 1003750 1168000 1284800 1460000 1606000 2007500 2569600 2920000 3212000 4015000 5840000 6424000 8030000 12848000 16060000 32120000 64240000