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65145696 = 25372111259
BaseRepresentation
bin1111100010000…
…0101101100000
311112120202002120
43320200231200
5113134130241
610244144240
71420505100
oct370405540
9145522076
1065145696
1133855a20
1219998080
131065c165
14891b200
155abc666
hex3e20b60

65145696 has 144 divisors (see below), whose sum is σ = 217183680. Its totient is φ = 16907520.

The previous prime is 65145677. The next prime is 65145697. The reversal of 65145696 is 69654156.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65145697) 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 23 ways as a sum of consecutive naturals, for example, 51115 + ... + 52373.

It is an arithmetic number, because the mean of its divisors is an integer number (1508220).

Almost surely, 265145696 is an apocalyptic number.

65145696 is a gapful number since it is divisible by the number (66) 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 65145696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108591840).

65145696 is an abundant number, since it is smaller than the sum of its proper divisors (152037984).

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

65145696 is a wasteful number, since it uses less digits than its factorization.

65145696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1282 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 65145696 is about 8071.2883729923. The cubic root of 65145696 is about 402.3727638158.

The spelling of 65145696 in words is "sixty-five million, one hundred forty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 49 56 66 77 84 88 96 98 112 132 147 154 168 176 196 224 231 264 294 308 336 352 392 462 528 539 588 616 672 784 924 1056 1078 1176 1232 1259 1568 1617 1848 2156 2352 2464 2518 3234 3696 3777 4312 4704 5036 6468 7392 7554 8624 8813 10072 12936 13849 15108 17248 17626 20144 25872 26439 27698 30216 35252 40288 41547 51744 52878 55396 60432 61691 70504 83094 96943 105756 110792 120864 123382 141008 166188 185073 193886 211512 221584 246764 282016 290829 332376 370146 387772 423024 443168 493528 581658 664752 678601 740292 775544 846048 987056 1163316 1329504 1357202 1480584 1551088 1974112 2035803 2326632 2714404 2961168 3102176 4071606 4653264 5428808 5922336 8143212 9306528 10857616 16286424 21715232 32572848 65145696