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1468368810 = 23555931019
BaseRepresentation
bin101011110000101…
…1000011110101010
310210022222212100000
41113201120132222
511001400300220
6401412123430
751246633426
oct12741303652
93708885300
101468368810
11693946247
1234b906576
131a52989ac
14dd02bb86
1588d9c390
hex578587aa

1468368810 has 96 divisors (see below), whose sum is σ = 3969725760. Its totient is φ = 390521088.

The previous prime is 1468368787. The next prime is 1468368817. The reversal of 1468368810 is 188638641.

It is a happy number.

It is a super-2 number, since 2×14683688102 = 4312213924361632200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1468368817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1440481 + ... + 1441499.

It is an arithmetic number, because the mean of its divisors is an integer number (41351310).

Almost surely, 21468368810 is an apocalyptic number.

1468368810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1468368810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984862880).

1468368810 is an abundant number, since it is smaller than the sum of its proper divisors (2501356950).

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

1468368810 is a wasteful number, since it uses less digits than its factorization.

1468368810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1622 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1468368810 is about 38319.3007504051. The cubic root of 1468368810 is about 1136.6106393706.

The spelling of 1468368810 in words is "one billion, four hundred sixty-eight million, three hundred sixty-eight thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 593 810 1019 1186 1215 1779 2038 2430 2965 3057 3558 5095 5337 5930 6114 8895 9171 10190 10674 15285 16011 17790 18342 26685 27513 30570 32022 45855 48033 53370 55026 80055 82539 91710 96066 137565 144099 160110 165078 240165 247617 275130 288198 412695 480330 495234 604267 720495 825390 1208534 1238085 1440990 1812801 2476170 3021335 3625602 5438403 6042670 9064005 10876806 16315209 18128010 27192015 32630418 48945627 54384030 81576045 97891254 146836881 163152090 244728135 293673762 489456270 734184405 1468368810