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1331442860 = 22511219231259
BaseRepresentation
bin100111101011100…
…0011010010101100
310102210100022020112
41033113003102230
510211322132420
6340041235152
744665035416
oct11727032254
93383308215
101331442860
11623623800
12311a92ab8
13182ac6917
14c8b879b6
157bd518c5
hex4f5c34ac

1331442860 has 144 divisors (see below), whose sum is σ = 3378412800. Its totient is φ = 438387840.

The previous prime is 1331442829. The next prime is 1331442863. The reversal of 1331442860 is 682441331.

1331442860 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1331442863) 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, 1056911 + ... + 1058169.

It is an arithmetic number, because the mean of its divisors is an integer number (23461200).

Almost surely, 21331442860 is an apocalyptic number.

1331442860 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 1331442860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689206400).

1331442860 is an abundant number, since it is smaller than the sum of its proper divisors (2046969940).

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

1331442860 is a wasteful number, since it uses less digits than its factorization.

1331442860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1331442860 is about 36488.9416124941. The cubic root of 1331442860 is about 1100.1219864716.

The spelling of 1331442860 in words is "one billion, three hundred thirty-one million, four hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 19 20 22 23 38 44 46 55 76 92 95 110 115 121 190 209 220 230 242 253 380 418 437 460 484 506 605 836 874 1012 1045 1210 1259 1265 1748 2090 2185 2299 2420 2518 2530 2783 4180 4370 4598 4807 5036 5060 5566 6295 8740 9196 9614 11132 11495 12590 13849 13915 19228 22990 23921 24035 25180 27698 27830 28957 45980 47842 48070 52877 55396 55660 57914 69245 95684 96140 105754 115828 119605 138490 144785 152339 211508 239210 263131 264385 276980 289570 304678 318527 478420 526262 528770 550183 579140 609356 637054 761695 1052524 1057540 1100366 1274108 1315655 1523390 1592635 2200732 2631310 2750915 2894441 3046780 3185270 3503797 5262620 5501830 5788882 6052013 6370540 7007594 11003660 11577764 12104026 14015188 14472205 17518985 24208052 28944410 30260065 35037970 57888820 60520130 66572143 70075940 121040260 133144286 266288572 332860715 665721430 1331442860