Search a number
-
+
2416390000 = 2454241639
BaseRepresentation
bin1001000000000111…
…0010111101110000
320020101212022220221
42100001302331300
514422043440000
61035435342424
7113610655543
oct22001627560
96211768827
102416390000
11102aa97632
125752b1a14
132c6806b8b
1418ccc885a
15e221261a
hex90072f70

2416390000 has 50 divisors (see below), whose sum is σ = 5850346040. Its totient is φ = 966552000.

The previous prime is 2416389973. The next prime is 2416390003. The reversal of 2416390000 is 936142.

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2416390003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 110820 + ... + 130819.

Almost surely, 22416390000 is an apocalyptic number.

2416390000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2416390000 is an abundant number, since it is smaller than the sum of its proper divisors (3433956040).

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

2416390000 is an equidigital number, since it uses as much as digits as its factorization.

2416390000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241667 (or 241646 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 2416390000 is about 49156.7899684265. The cubic root of 2416390000 is about 1341.9067678950.

The spelling of 2416390000 in words is "two billion, four hundred sixteen million, three hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 241639 483278 966556 1208195 1933112 2416390 3866224 4832780 6040975 9665560 12081950 19331120 24163900 30204875 48327800 60409750 96655600 120819500 151024375 241639000 302048750 483278000 604097500 1208195000 2416390000