Search a number
-
+
5080704 = 273101131
BaseRepresentation
bin10011011000011010000000
3100120010102020
4103120122000
52300040304
6300521440
761120356
oct23303200
910503366
105080704
112960232
121850280
13108b745
149637d6
156a55d9
hex4d8680

5080704 has 64 divisors (see below), whose sum is σ = 13733280. Its totient is φ = 1664000.

The previous prime is 5080703. The next prime is 5080709. The reversal of 5080704 is 4070805.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5080703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38719 + ... + 38849.

Almost surely, 25080704 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 5080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6866640).

5080704 is an abundant number, since it is smaller than the sum of its proper divisors (8652576).

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

5080704 is a wasteful number, since it uses less digits than its factorization.

5080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5080704 is about 2254.0417032522. The cubic root of 5080704 is about 171.9127013273.

The spelling of 5080704 in words is "five million, eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 131 192 202 262 303 384 393 404 524 606 786 808 1048 1212 1572 1616 2096 2424 3144 3232 4192 4848 6288 6464 8384 9696 12576 12928 13231 16768 19392 25152 26462 38784 39693 50304 52924 79386 105848 158772 211696 317544 423392 635088 846784 1270176 1693568 2540352 5080704