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65016500 = 2253177649
BaseRepresentation
bin1111100000000…
…1001010110100
311112100011212112
43320001022310
5113121012000
610241310152
71416426323
oct370011264
9145304775
1065016500
113377794a
1219935358
1310615403
1488c60ba
155a94235
hex3e012b4

65016500 has 48 divisors (see below), whose sum is σ = 150368400. Its totient is φ = 24473600.

The previous prime is 65016491. The next prime is 65016509. The reversal of 65016500 is 561056.

It is an interprime number because it is at equal distance from previous prime (65016491) and next prime (65016509).

It can be written as a sum of positive squares in 8 ways, for example, as 29899024 + 35117476 = 5468^2 + 5926^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65016509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4676 + ... + 12324.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 265016500 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 65016500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75184200).

65016500 is an abundant number, since it is smaller than the sum of its proper divisors (85351900).

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

65016500 is a wasteful number, since it uses less digits than its factorization.

65016500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7685 (or 7673 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 65016500 is about 8063.2809699278. The cubic root of 65016500 is about 402.1065945062.

Adding to 65016500 its reverse (561056), we get a palindrome (65577556).

The spelling of 65016500 in words is "sixty-five million, sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 4250 7649 8500 15298 30596 38245 76490 130033 152980 191225 260066 382450 520132 650165 764900 956125 1300330 1912250 2600660 3250825 3824500 6501650 13003300 16254125 32508250 65016500