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64201040 = 2457189127
BaseRepresentation
bin1111010011101…
…0000101010000
311110210202021022
43310322011100
5112413413130
610212015012
71406462021
oct364720520
9143722238
1064201040
1133270212
1219601468
13103bb1a7
148752c48
1559827e5
hex3d3a150

64201040 has 80 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 24837120.

The previous prime is 64201037. The next prime is 64201051. The reversal of 64201040 is 4010246.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505457 + ... + 505583.

It is an arithmetic number, because the mean of its divisors is an integer number (1928448).

Almost surely, 264201040 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 64201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

64201040 is an abundant number, since it is smaller than the sum of its proper divisors (90074800).

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

64201040 is a wasteful number, since it uses less digits than its factorization.

64201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 64201040 is about 8012.5551480161. Note that the first 3 decimals coincide. The cubic root of 64201040 is about 400.4183955437.

Adding to 64201040 its reverse (4010246), we get a palindrome (68211286).

The spelling of 64201040 in words is "sixty-four million, two hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 89 127 142 178 254 284 355 356 445 508 568 635 710 712 890 1016 1136 1270 1420 1424 1780 2032 2540 2840 3560 5080 5680 6319 7120 9017 10160 11303 12638 18034 22606 25276 31595 36068 45085 45212 50552 56515 63190 72136 90170 90424 101104 113030 126380 144272 180340 180848 226060 252760 360680 452120 505520 721360 802513 904240 1605026 3210052 4012565 6420104 8025130 12840208 16050260 32100520 64201040