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64201440 = 2535592267
BaseRepresentation
bin1111010011101…
…0001011100000
311110210202211010
43310322023200
5112413421230
610212020520
71406463132
oct364721340
9143722733
1064201440
1133270546
1219601740
13103bb424
148753052
1559829b0
hex3d3a2e0

64201440 has 96 divisors (see below), whose sum is σ = 205752960. Its totient is φ = 16822784.

The previous prime is 64201439. The next prime is 64201457. The reversal of 64201440 is 4410246.

64201440 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 27187 + ... + 29453.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 264201440 is an apocalyptic number.

64201440 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 64201440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102876480).

64201440 is an abundant number, since it is smaller than the sum of its proper divisors (141551520).

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

64201440 is a wasteful number, since it uses less digits than its factorization.

64201440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 64201440 is about 8012.5801088039. The cubic root of 64201440 is about 400.4192271347.

Adding to 64201440 its reverse (4410246), we get a palindrome (68611686).

The spelling of 64201440 in words is "sixty-four million, two hundred one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 59 60 80 96 118 120 160 177 236 240 295 354 472 480 590 708 885 944 1180 1416 1770 1888 2267 2360 2832 3540 4534 4720 5664 6801 7080 9068 9440 11335 13602 14160 18136 22670 27204 28320 34005 36272 45340 54408 68010 72544 90680 108816 133753 136020 181360 217632 267506 272040 362720 401259 535012 544080 668765 802518 1070024 1088160 1337530 1605036 2006295 2140048 2675060 3210072 4012590 4280096 5350120 6420144 8025180 10700240 12840288 16050360 21400480 32100720 64201440