Search a number
-
+
66764736 = 263953
BaseRepresentation
bin1111111010101…
…1111111000000
311122122000000000
43332223333000
5114042432421
610343000000
71440330243
oct376537700
9148560000
1066764736
1134761375
121a439000
1310aa807c
148c1d25a
155cdc226
hex3fabfc0

66764736 has 140 divisors (see below), whose sum is σ = 202475592. Its totient is φ = 21835008.

The previous prime is 66764713. The next prime is 66764743. The reversal of 66764736 is 63746766.

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 66764691 and 66764700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259686 + ... + 1259738.

Almost surely, 266764736 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 66764736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101237796).

66764736 is an abundant number, since it is smaller than the sum of its proper divisors (135710856).

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

66764736 is an frugal number, since it uses more digits than its factorization.

66764736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 58 counting only the distinct ones).

The product of its digits is 762048, while the sum is 45.

The square root of 66764736 is about 8170.9690979712. The cubic root of 66764736 is about 405.6788614559.

The spelling of 66764736 in words is "sixty-six million, seven hundred sixty-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 81 96 106 108 144 159 162 192 212 216 243 288 318 324 424 432 477 486 576 636 648 729 848 864 954 972 1272 1296 1431 1458 1696 1728 1908 1944 2187 2544 2592 2862 2916 3392 3816 3888 4293 4374 5088 5184 5724 5832 6561 7632 7776 8586 8748 10176 11448 11664 12879 13122 15264 15552 17172 17496 19683 22896 23328 25758 26244 30528 34344 34992 38637 39366 45792 46656 51516 52488 68688 69984 77274 78732 91584 103032 104976 115911 137376 139968 154548 157464 206064 209952 231822 274752 309096 314928 347733 412128 419904 463644 618192 629856 695466 824256 927288 1043199 1236384 1259712 1390932 1854576 2086398 2472768 2781864 3709152 4172796 5563728 7418304 8345592 11127456 16691184 22254912 33382368 66764736