Search a number
-
+
96120720 = 24325177853
BaseRepresentation
bin1011011101010…
…10111110010000
320200212102211200
411232222332100
5144101330340
613312111200
72245004223
oct556527620
9220772750
1096120720
114a291a13
1228235500
1316bb5b87
14caa15ba
15868a330
hex5baaf90

96120720 has 120 divisors (see below), whose sum is σ = 341837496. Its totient is φ = 24121344.

The previous prime is 96120683. The next prime is 96120721. The reversal of 96120720 is 2702169.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 94012416 = 1452^2 + 9696^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (96120721) 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, 8314 + ... + 16166.

Almost surely, 296120720 is an apocalyptic number.

96120720 is a gapful number since it is divisible by the number (90) 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 96120720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170918748).

96120720 is an abundant number, since it is smaller than the sum of its proper divisors (245716776).

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

96120720 is a wasteful number, since it uses less digits than its factorization.

96120720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7889 (or 7880 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 96120720 is about 9804.1175023558. The cubic root of 96120720 is about 458.0775470480.

Adding to 96120720 its reverse (2702169), we get a palindrome (98822889).

The spelling of 96120720 in words is "ninety-six million, one hundred twenty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 7853 12240 15706 23559 31412 39265 47118 62824 70677 78530 94236 117795 125648 133501 141354 157060 188472 235590 267002 282708 314120 353385 376944 400503 471180 534004 565416 628240 667505 706770 801006 942360 1068008 1130832 1201509 1335010 1413540 1602012 1884720 2002515 2136016 2403018 2670020 2827080 3204024 4005030 4806036 5340040 5654160 6007545 6408048 8010060 9612072 10680080 12015090 16020120 19224144 24030180 32040240 48060360 96120720