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4720640 = 2115461
BaseRepresentation
bin10010000000100000000000
322212211111112
4102000200000
52202030030
6245102452
755060541
oct22004000
98784445
104720640
112734761
1216b7a28
13c938a2
148ac4c8
15633a95
hex480800

4720640 has 48 divisors (see below), whose sum is σ = 11351340. Its totient is φ = 1884160.

The previous prime is 4720637. The next prime is 4720663. The reversal of 4720640 is 460274.

It can be written as a sum of positive squares in 2 ways, for example, as 4596736 + 123904 = 2144^2 + 352^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10010 + ... + 10470.

Almost surely, 24720640 is an apocalyptic number.

4720640 is a gapful number since it is divisible by the number (40) 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 4720640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5675670).

4720640 is an abundant number, since it is smaller than the sum of its proper divisors (6630700).

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

4720640 is an equidigital number, since it uses as much as digits as its factorization.

4720640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 4720640 is about 2172.7033851863. The cubic root of 4720640 is about 167.7517118435.

The spelling of 4720640 in words is "four million, seven hundred twenty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 461 512 640 922 1024 1280 1844 2048 2305 2560 3688 4610 5120 7376 9220 10240 14752 18440 29504 36880 59008 73760 118016 147520 236032 295040 472064 590080 944128 1180160 2360320 4720640