Search a number
-
+
64090440 = 23345131151
BaseRepresentation
bin1111010001111…
…1000101001000
311110121010120000
43310133011020
5112401343230
610205403000
71405521411
oct364370510
9143533500
1064090440
11331a5107
1219569460
131037ca4b
148724808
15595eb60
hex3d1f148

64090440 has 160 divisors (see below), whose sum is σ = 218496960. Its totient is φ = 16848000.

The previous prime is 64090427. The next prime is 64090441. The reversal of 64090440 is 4409046.

64090440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (64090441) 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 39 ways as a sum of consecutive naturals, for example, 424365 + ... + 424515.

It is an arithmetic number, because the mean of its divisors is an integer number (1365606).

Almost surely, 264090440 is an apocalyptic number.

64090440 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 64090440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109248480).

64090440 is an abundant number, since it is smaller than the sum of its proper divisors (154406520).

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

64090440 is a wasteful number, since it uses less digits than its factorization.

64090440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64090440 is about 8005.6505044874. The cubic root of 64090440 is about 400.1883279842.

Adding to 64090440 its reverse (4409046), we get a palindrome (68499486).

The spelling of 64090440 in words is "sixty-four million, ninety thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 131 135 151 162 180 216 262 270 302 324 360 393 405 453 524 540 604 648 655 755 786 810 906 1048 1080 1179 1208 1310 1359 1510 1572 1620 1812 1965 2265 2358 2620 2718 3020 3144 3240 3537 3624 3930 4077 4530 4716 5240 5436 5895 6040 6795 7074 7860 8154 9060 9432 10611 10872 11790 12231 13590 14148 15720 16308 17685 18120 19781 20385 21222 23580 24462 27180 28296 32616 35370 39562 40770 42444 47160 48924 53055 54360 59343 61155 70740 79124 81540 84888 97848 98905 106110 118686 122310 141480 158248 163080 178029 197810 212220 237372 244620 296715 356058 395620 424440 474744 489240 534087 593430 712116 791240 890145 1068174 1186860 1424232 1602261 1780290 2136348 2373720 2670435 3204522 3560580 4272696 5340870 6409044 7121160 8011305 10681740 12818088 16022610 21363480 32045220 64090440