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5011680 = 253553197
BaseRepresentation
bin10011000111100011100000
3100102121201210
4103013203200
52240333210
6255230120
760412212
oct23074340
910377653
105011680
112913393
121818340
1310661bb
149465b2
1568ee20
hex4c78e0

5011680 has 96 divisors (see below), whose sum is σ = 16166304. Its totient is φ = 1304576.

The previous prime is 5011661. The next prime is 5011729. The reversal of 5011680 is 861105.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25342 + ... + 25538.

It is an arithmetic number, because the mean of its divisors is an integer number (168399).

Almost surely, 25011680 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 5011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8083152).

5011680 is an abundant number, since it is smaller than the sum of its proper divisors (11154624).

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

5011680 is a wasteful number, since it uses less digits than its factorization.

5011680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 5011680 is about 2238.6781814276. The cubic root of 5011680 is about 171.1306412495.

Adding to 5011680 its reverse (861105), we get a palindrome (5872785).

The spelling of 5011680 in words is "five million, eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 197 212 240 265 318 394 424 480 530 591 636 788 795 848 985 1060 1182 1272 1576 1590 1696 1970 2120 2364 2544 2955 3152 3180 3940 4240 4728 5088 5910 6304 6360 7880 8480 9456 10441 11820 12720 15760 18912 20882 23640 25440 31323 31520 41764 47280 52205 62646 83528 94560 104410 125292 156615 167056 208820 250584 313230 334112 417640 501168 626460 835280 1002336 1252920 1670560 2505840 5011680