Search a number
-
+
2490937120 = 25575414111
BaseRepresentation
bin1001010001111000…
…1010111100100000
320102121010201100101
42110132022330200
520100134441440
61051101232144
7115504421230
oct22436127440
96377121311
102490937120
111069083a21
12596262654
133090a82b9
14198b71cc0
15e8a3a69a
hex9478af20

2490937120 has 96 divisors (see below), whose sum is σ = 6739600896. Its totient is φ = 852249600.

The previous prime is 2490937081. The next prime is 2490937123. The reversal of 2490937120 is 217390942.

It is a self number, because there is not a number n which added to its sum of digits gives 2490937120.

It is not an unprimeable number, because it can be changed into a prime (2490937123) 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, 603865 + ... + 607975.

It is an arithmetic number, because the mean of its divisors is an integer number (70204176).

Almost surely, 22490937120 is an apocalyptic number.

2490937120 is a gapful number since it is divisible by the number (20) 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 2490937120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369800448).

2490937120 is an abundant number, since it is smaller than the sum of its proper divisors (4248663776).

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

2490937120 is a wasteful number, since it uses less digits than its factorization.

2490937120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 2490937120 is about 49909.2889149906. The cubic root of 2490937120 is about 1355.5667931026.

The spelling of 2490937120 in words is "two billion, four hundred ninety million, nine hundred thirty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 541 560 1082 1120 2164 2705 3787 4111 4328 5410 7574 8222 8656 10820 15148 16444 17312 18935 20555 21640 28777 30296 32888 37870 41110 43280 57554 60592 65776 75740 82220 86560 115108 121184 131552 143885 151480 164440 230216 287770 302960 328880 460432 575540 605920 657760 920864 1151080 2224051 2302160 4448102 4604320 8896204 11120255 15568357 17792408 22240510 31136714 35584816 44481020 62273428 71169632 77841785 88962040 124546856 155683570 177924080 249093712 311367140 355848160 498187424 622734280 1245468560 2490937120