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65131696 = 24719127241
BaseRepresentation
bin1111100001110…
…1010010110000
311112120000220001
43320131102300
5113133203241
610243555344
71420416220
oct370352260
9145500801
1065131696
1133846453
121998bb54
1310655986
148916080
155ab8431
hex3e1d4b0

65131696 has 80 divisors (see below), whose sum is σ = 153640960. Its totient is φ = 26127360.

The previous prime is 65131673. The next prime is 65131697. The reversal of 65131696 is 69613156.

65131696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (65131697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270136 + ... + 270376.

It is an arithmetic number, because the mean of its divisors is an integer number (1920512).

Almost surely, 265131696 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 65131696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76820480).

65131696 is an abundant number, since it is smaller than the sum of its proper divisors (88509264).

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

65131696 is a wasteful number, since it uses less digits than its factorization.

65131696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its digits is 29160, while the sum is 37.

The square root of 65131696 is about 8070.4210546910. The cubic root of 65131696 is about 402.3439380574.

The spelling of 65131696 in words is "sixty-five million, one hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 127 133 152 241 254 266 304 482 508 532 889 964 1016 1064 1687 1778 1928 2032 2128 2413 3374 3556 3856 4579 4826 6748 7112 9158 9652 13496 14224 16891 18316 19304 26992 30607 32053 33782 36632 38608 61214 64106 67564 73264 122428 128212 135128 214249 244856 256424 270256 428498 489712 512848 581533 856996 1163066 1713992 2326132 3427984 4070731 4652264 8141462 9304528 16282924 32565848 65131696