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413025540 = 2235172913963
BaseRepresentation
bin11000100111100…
…100010100000100
31001210011212112020
4120213210110010
51321213304130
6104552323140
713143442044
oct3047442404
91053155466
10413025540
111a2162224
12b63a34b0
1367752315
143cbd5724
15263d7e10
hex189e4504

413025540 has 96 divisors (see below), whose sum is σ = 1266814080. Its totient is φ = 100079616.

The previous prime is 413025539. The next prime is 413025583. The reversal of 413025540 is 45520314.

413025540 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 413025540.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22599 + ... + 36561.

It is an arithmetic number, because the mean of its divisors is an integer number (13195980).

Almost surely, 2413025540 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 413025540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633407040).

413025540 is an abundant number, since it is smaller than the sum of its proper divisors (853788540).

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

413025540 is a wasteful number, since it uses less digits than its factorization.

413025540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14021 (or 14019 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 413025540 is about 20323.0297938078. The cubic root of 413025540 is about 744.7187743861.

Adding to 413025540 its reverse (45520314), we get a palindrome (458545854).

The spelling of 413025540 in words is "four hundred thirteen million, twenty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 29 30 34 51 58 60 68 85 87 102 116 145 170 174 204 255 290 340 348 435 493 510 580 870 986 1020 1479 1740 1972 2465 2958 4930 5916 7395 9860 13963 14790 27926 29580 41889 55852 69815 83778 139630 167556 209445 237371 279260 404927 418890 474742 712113 809854 837780 949484 1186855 1214781 1424226 1619708 2024635 2373710 2429562 2848452 3560565 4049270 4747420 4859124 6073905 6883759 7121130 8098540 12147810 13767518 14242260 20651277 24295620 27535036 34418795 41302554 68837590 82605108 103256385 137675180 206512770 413025540