Search a number
-
+
1381241268 = 2233115321937
BaseRepresentation
bin101001001010100…
…0001000110110100
310120021001022211000
41102111001012310
510312044210033
6345020443300
746141233321
oct12225010664
93507038730
101381241268
11649747010
123266a9530
13190211334
14d162bb48
15813dba13
hex525411b4

1381241268 has 96 divisors (see below), whose sum is σ = 3980430720. Its totient is φ = 410641920.

The previous prime is 1381241231. The next prime is 1381241327. The reversal of 1381241268 is 8621421831.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51996 + ... + 73932.

It is an arithmetic number, because the mean of its divisors is an integer number (41462820).

Almost surely, 21381241268 is an apocalyptic number.

1381241268 is a gapful number since it is divisible by the number (18) 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 1381241268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990215360).

1381241268 is an abundant number, since it is smaller than the sum of its proper divisors (2599189452).

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

1381241268 is a wasteful number, since it uses less digits than its factorization.

1381241268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22014 (or 22006 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1381241268 is about 37165.0543925339. The cubic root of 1381241268 is about 1113.6699855224.

The spelling of 1381241268 in words is "one billion, three hundred eighty-one million, two hundred forty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 53 54 66 99 106 108 132 159 198 212 297 318 396 477 583 594 636 954 1166 1188 1431 1749 1908 2332 2862 3498 5247 5724 6996 10494 15741 20988 21937 31482 43874 62964 65811 87748 131622 197433 241307 263244 394866 482614 592299 723921 789732 965228 1162661 1184598 1447842 2171763 2325322 2369196 2895684 3487983 4343526 4650644 6515289 6975966 8687052 10463949 12789271 13030578 13951932 20927898 25578542 26061156 31391847 38367813 41855796 51157084 62783694 76735626 115103439 125567388 153471252 230206878 345310317 460413756 690620634 1381241268