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64943040 = 2635611109
BaseRepresentation
bin1111011110111…
…1001111000000
311112012110002210
43313233033000
5113111134130
610235542120
71416002211
oct367571700
9145173083
1064943040
1133727738
12198ba940
13105bab46
1488a7408
155a7c5b0
hex3def3c0

64943040 has 112 divisors (see below), whose sum is σ = 209763360. Its totient is φ = 17018880.

The previous prime is 64943027. The next prime is 64943041. The reversal of 64943040 is 4034946.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64942989 and 64943007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64943041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58006 + ... + 59114.

Almost surely, 264943040 is an apocalyptic number.

64943040 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 64943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104881680).

64943040 is an abundant number, since it is smaller than the sum of its proper divisors (144820320).

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

64943040 is a wasteful number, since it uses less digits than its factorization.

64943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1180 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 64943040 is about 8058.7244648269. The cubic root of 64943040 is about 401.9550951054.

Adding to 64943040 its reverse (4034946), we get a palindrome (68977986).

The spelling of 64943040 in words is "sixty-four million, nine hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 160 183 192 240 244 305 320 366 480 488 610 732 915 960 976 1109 1220 1464 1830 1952 2218 2440 2928 3327 3660 3904 4436 4880 5545 5856 6654 7320 8872 9760 11090 11712 13308 14640 16635 17744 19520 22180 26616 29280 33270 35488 44360 53232 58560 66540 67649 70976 88720 106464 133080 135298 177440 202947 212928 266160 270596 338245 354880 405894 532320 541192 676490 811788 1014735 1064640 1082384 1352980 1623576 2029470 2164768 2705960 3247152 4058940 4329536 5411920 6494304 8117880 10823840 12988608 16235760 21647680 32471520 64943040