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65016640 = 2651315629
BaseRepresentation
bin1111100000000…
…1001101000000
311112100012001201
43320001031000
5113121013030
610241310544
71416426613
oct370011500
9145305051
1065016640
1133777a67
1219935454
13106154b0
1488c617a
155a942ca
hex3e01340

65016640 has 56 divisors (see below), whose sum is σ = 166740840. Its totient is φ = 24004608.

The previous prime is 65016583. The next prime is 65016661. The reversal of 65016640 is 4661056.

It can be written as a sum of positive squares in 4 ways, for example, as 15116544 + 49900096 = 3888^2 + 7064^2 .

It is a junction number, because it is equal to n+sod(n) for n = 65016599 and 65016608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3655 + ... + 11974.

It is an arithmetic number, because the mean of its divisors is an integer number (2977515).

Almost surely, 265016640 is an apocalyptic number.

It is an amenable number.

65016640 is an abundant number, since it is smaller than the sum of its proper divisors (101724200).

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

65016640 is a wasteful number, since it uses less digits than its factorization.

65016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15659 (or 15649 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 65016640 is about 8063.2896512528. The cubic root of 65016640 is about 402.1068831247.

Adding to 65016640 its reverse (4661056), we get a palindrome (69677696).

It can be divided in two parts, 65016 and 640, that added together give a palindrome (65656).

The spelling of 65016640 in words is "sixty-five million, sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 15629 31258 62516 78145 125032 156290 203177 250064 312580 406354 500128 625160 812708 1000256 1015885 1250320 1625416 2031770 2500640 3250832 4063540 5001280 6501664 8127080 13003328 16254160 32508320 65016640