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51090720 = 2535163653
BaseRepresentation
bin1100001011100…
…1010100100000
310120010200021220
43002321110200
5101034400340
65023015040
71160156352
oct302712440
9116120256
1051090720
112692623a
121513a480
13a77a9c5
146add0d2
154742ed0
hex30b9520

51090720 has 96 divisors (see below), whose sum is σ = 162171072. Its totient is φ = 13519872.

The previous prime is 51090709. The next prime is 51090727. The reversal of 51090720 is 2709015.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×510907202 = 5220523340236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (51090727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77914 + ... + 78566.

It is an arithmetic number, because the mean of its divisors is an integer number (1689282).

Almost surely, 251090720 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 51090720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81085536).

51090720 is an abundant number, since it is smaller than the sum of its proper divisors (111080352).

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

51090720 is a wasteful number, since it uses less digits than its factorization.

51090720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 51090720 is about 7147.7772768882. Note that the first 3 decimals coincide. The cubic root of 51090720 is about 371.0627347456.

Adding to 51090720 its reverse (2709015), we get a palindrome (53799735).

The spelling of 51090720 in words is "fifty-one million, ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 163 240 326 480 489 652 653 815 978 1304 1306 1630 1956 1959 2445 2608 2612 3260 3265 3912 3918 4890 5216 5224 6520 6530 7824 7836 9780 9795 10448 13040 13060 15648 15672 19560 19590 20896 26080 26120 31344 39120 39180 52240 62688 78240 78360 104480 106439 156720 212878 313440 319317 425756 532195 638634 851512 1064390 1277268 1596585 1703024 2128780 2554536 3193170 3406048 4257560 5109072 6386340 8515120 10218144 12772680 17030240 25545360 51090720