Search a number
-
+
1243468896 = 253592612
BaseRepresentation
bin100101000011101…
…1101010001100000
310012122210202122120
41022013131101200
510021312001041
6323215504240
742546211515
oct11207352140
93178722576
101243468896
115889a664a
122a8528080
1316a803c17
14bb20730c
1574275366
hex4a1dd460

1243468896 has 108 divisors (see below), whose sum is σ = 3375691956. Its totient is φ = 400784640.

The previous prime is 1243468871. The next prime is 1243468901. The reversal of 1243468896 is 6988643421.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 20384706 + ... + 20384766.

It is an arithmetic number, because the mean of its divisors is an integer number (31256407).

Almost surely, 21243468896 is an apocalyptic number.

1243468896 is a gapful number since it is divisible by the number (16) 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 1243468896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687845978).

1243468896 is an abundant number, since it is smaller than the sum of its proper divisors (2132223060).

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

1243468896 is an frugal number, since it uses more digits than its factorization.

1243468896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 125 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 1243468896 is about 35262.8543371066. The cubic root of 1243468896 is about 1075.3379564073.

The spelling of 1243468896 in words is "one billion, two hundred forty-three million, four hundred sixty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 61 96 118 122 177 183 236 244 354 366 472 488 708 732 944 976 1416 1464 1888 1952 2832 2928 3481 3599 3721 5664 5856 6962 7198 7442 10443 10797 11163 13924 14396 14884 20886 21594 22326 27848 28792 29768 41772 43188 44652 55696 57584 59536 83544 86376 89304 111392 115168 119072 167088 172752 178608 212341 219539 334176 345504 357216 424682 439078 637023 658617 849364 878156 1274046 1317234 1698728 1756312 2548092 2634468 3397456 3512624 5096184 5268936 6794912 7025248 10192368 10537872 12952801 20384736 21075744 25905602 38858403 51811204 77716806 103622408 155433612 207244816 310867224 414489632 621734448 1243468896