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5040640 = 29511179
BaseRepresentation
bin10011001110101000000000
3100111002110101
4103032220000
52242300030
6300012144
760562513
oct23165000
910432411
105040640
112933120
121831054
131076437
14952d7a
156987ca
hex4cea00

5040640 has 80 divisors (see below), whose sum is σ = 13258080. Its totient is φ = 1822720.

The previous prime is 5040601. The next prime is 5040647. The reversal of 5040640 is 460405.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (5040647) 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, 28071 + ... + 28249.

It is an arithmetic number, because the mean of its divisors is an integer number (165726).

Almost surely, 25040640 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 5040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629040).

5040640 is an abundant number, since it is smaller than the sum of its proper divisors (8217440).

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

5040640 is a wasteful number, since it uses less digits than its factorization.

5040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 5040640 is about 2245.1369668686. The cubic root of 5040640 is about 171.4596345826.

The spelling of 5040640 in words is "five million, forty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 179 220 256 320 352 358 440 512 640 704 716 880 895 1280 1408 1432 1760 1790 1969 2560 2816 2864 3520 3580 3938 5632 5728 7040 7160 7876 9845 11456 14080 14320 15752 19690 22912 28160 28640 31504 39380 45824 57280 63008 78760 91648 114560 126016 157520 229120 252032 315040 458240 504064 630080 1008128 1260160 2520320 5040640