Search a number
-
+
64528740 = 22325379689
BaseRepresentation
bin1111011000101…
…0000101100100
311111102101210100
43312022011210
5113004404430
610223024100
71412325303
oct366120544
9144371710
1064528740
1133474441
121973b030
13104a43b3
1487da43a
1559e9960
hex3d8a164

64528740 has 72 divisors (see below), whose sum is σ = 201048120. Its totient is φ = 16740864.

The previous prime is 64528733. The next prime is 64528747. The reversal of 64528740 is 4782546.

64528740 is a `hidden beast` number, since 64 + 528 + 74 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (64528733) and next prime (64528747).

It can be written as a sum of positive squares in 4 ways, for example, as 19289664 + 45239076 = 4392^2 + 6726^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 64528695 and 64528704.

It is not an unprimeable number, because it can be changed into a prime (64528747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1816 + ... + 11504.

It is an arithmetic number, because the mean of its divisors is an integer number (2792335).

Almost surely, 264528740 is an apocalyptic number.

64528740 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 64528740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100524060).

64528740 is an abundant number, since it is smaller than the sum of its proper divisors (136519380).

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

64528740 is a wasteful number, since it uses less digits than its factorization.

64528740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9741 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 64528740 is about 8032.9782770776. The cubic root of 64528740 is about 401.0985220283.

The spelling of 64528740 in words is "sixty-four million, five hundred twenty-eight thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 9689 19378 29067 38756 48445 58134 87201 96890 116268 145335 174402 193780 290670 348804 358493 436005 581340 716986 872010 1075479 1433972 1744020 1792465 2150958 3226437 3584930 4301916 5377395 6452874 7169860 10754790 12905748 16132185 21509580 32264370 64528740