[go: up one dir, main page]

Search a number
-
+
64996020 = 2234553757
BaseRepresentation
bin1111011111110…
…0001010110100
311112022010210000
43313330022310
5113114333040
610241031300
71416312525
oct367741264
9145263700
1064996020
1133763521
1219925530
1310608cab
1488bc84c
155a8d130
hex3dfc2b4

64996020 has 120 divisors (see below), whose sum is σ = 208016424. Its totient is φ = 16982784.

The previous prime is 64996007. The next prime is 64996021. The reversal of 64996020 is 2069946.

64996020 is a `hidden beast` number, since 6 + 49 + 9 + 602 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14699556 + 50296464 = 3834^2 + 7092^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64996021) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 85482 + ... + 86238.

Almost surely, 264996020 is an apocalyptic number.

64996020 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 64996020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104008212).

64996020 is an abundant number, since it is smaller than the sum of its proper divisors (143020404).

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

64996020 is a wasteful number, since it uses less digits than its factorization.

64996020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 64996020 is about 8062.0109153982. The cubic root of 64996020 is about 402.0643692870.

It can be divided in two parts, 649 and 96020, that added together give a palindrome (96669).

The spelling of 64996020 in words is "sixty-four million, nine hundred ninety-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 757 795 810 954 1060 1431 1514 1590 1620 1908 2271 2385 2862 3028 3180 3785 4293 4542 4770 5724 6813 7155 7570 8586 9084 9540 11355 13626 14310 15140 17172 20439 21465 22710 27252 28620 34065 40121 40878 42930 45420 61317 68130 80242 81756 85860 102195 120363 122634 136260 160484 200605 204390 240726 245268 306585 361089 401210 408780 481452 601815 613170 722178 802420 1083267 1203630 1226340 1444356 1805445 2166534 2407260 3249801 3610890 4333068 5416335 6499602 7221780 10832670 12999204 16249005 21665340 32498010 64996020