Search a number
-
+
1360463030420 = 2251323852126699
BaseRepresentation
bin10011110011000001111…
…010100110100010010100
311211001121000012122022012
4103303001322212202110
5134242212013433140
62520553232123352
7200201353646114
oct23630172464224
94731530178265
101360463030420
11484a72a0591a
1219b800396558
139b3a2764310
1449bbd72d044
15255c713c265
hex13cc1ea6894

1360463030420 has 96 divisors (see below), whose sum is σ = 3211007788800. Its totient is φ = 480410219520.

The previous prime is 1360463030419. The next prime is 1360463030431. The reversal of 1360463030420 is 240303640631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50942231 + ... + 50968929.

It is an arithmetic number, because the mean of its divisors is an integer number (33447997800).

Almost surely, 21360463030420 is an apocalyptic number.

1360463030420 is a gapful number since it is divisible by the number (10) 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 1360463030420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605503894400).

1360463030420 is an abundant number, since it is smaller than the sum of its proper divisors (1850544758380).

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

1360463030420 is a wasteful number, since it uses less digits than its factorization.

1360463030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35265 (or 35263 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 1360463030420 in words is "one trillion, three hundred sixty billion, four hundred sixty-three million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5980 8521 17042 26699 34084 42605 53398 85210 106796 110773 133495 170420 195983 221546 266990 347087 391966 443092 533980 553865 614077 694174 783932 979915 1107730 1228154 1388348 1735435 1959830 2215460 2456308 2547779 3070385 3470870 3919660 5095558 6140770 6941740 7983001 10191116 12281540 12738895 15966002 25477790 31932004 39915005 50955580 79830010 159660020 227502179 455004358 910008716 1137510895 2275021790 2957528327 4550043580 5232550117 5915056654 10465100234 11830113308 14787641635 20930200468 26162750585 29575283270 52325501170 59150566540 68023151521 104651002340 136046303042 272092606084 340115757605 680231515210 1360463030420