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416720140 = 225293891847
BaseRepresentation
bin11000110101101…
…010010100001100
31002001010120120021
4120311222110030
51323140021030
6105203431524
713220030344
oct3065522414
91061116507
10416720140
111a4256011
12b76855a4
1368446b85
143d4b7d24
15268b797a
hex18d6a50c

416720140 has 48 divisors (see below), whose sum is σ = 908107200. Its totient is φ = 160439552.

The previous prime is 416720131. The next prime is 416720191. The reversal of 416720140 is 41027614.

416720140 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 224697 + ... + 226543.

It is an arithmetic number, because the mean of its divisors is an integer number (18918900).

Almost surely, 2416720140 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 416720140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454053600).

416720140 is an abundant number, since it is smaller than the sum of its proper divisors (491387060).

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

416720140 is a wasteful number, since it uses less digits than its factorization.

416720140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 416720140 is about 20413.7243049866. The cubic root of 416720140 is about 746.9327411461.

Adding to 416720140 its reverse (41027614), we get a palindrome (457747754).

The spelling of 416720140 in words is "four hundred sixteen million, seven hundred twenty thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 389 580 778 1556 1847 1945 3694 3890 7388 7780 9235 11281 18470 22562 36940 45124 53563 56405 107126 112810 214252 225620 267815 535630 718483 1071260 1436966 2873932 3592415 7184830 14369660 20836007 41672014 83344028 104180035 208360070 416720140