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116305024 = 27111743113
BaseRepresentation
bin1101110111010…
…10110010000000
322002211220111111
412323222302000
5214233230044
615312453104
72611401463
oct673526200
9262756444
10116305024
115a718760
1232b4a194
131b132154
14116372da
15a325b34
hex6eeac80

116305024 has 128 divisors (see below), whose sum is σ = 276281280. Its totient is φ = 48168960.

The previous prime is 116305019. The next prime is 116305027. The reversal of 116305024 is 420503611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 116304986 and 116305004.

It is not an unprimeable number, because it can be changed into a prime (116305027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1029192 + ... + 1029304.

Almost surely, 2116305024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116305024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138140640).

116305024 is an abundant number, since it is smaller than the sum of its proper divisors (159976256).

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

116305024 is a wasteful number, since it uses less digits than its factorization.

With its successor (116305025) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (186).

116305024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 116305024 is about 10784.4807014524. The cubic root of 116305024 is about 488.1269937341.

Adding to 116305024 its reverse (420503611), we get a palindrome (536808635).

The spelling of 116305024 in words is "one hundred sixteen million, three hundred five thousand, twenty-four".

Divisors: 1 2 4 8 11 16 17 22 32 34 43 44 64 68 86 88 113 128 136 172 176 187 226 272 344 352 374 452 473 544 688 704 731 748 904 946 1088 1243 1376 1408 1462 1496 1808 1892 1921 2176 2486 2752 2924 2992 3616 3784 3842 4859 4972 5504 5848 5984 7232 7568 7684 8041 9718 9944 11696 11968 14464 15136 15368 16082 19436 19888 21131 23392 23936 30272 30736 32164 38872 39776 42262 46784 53449 60544 61472 64328 77744 79552 82603 84524 93568 106898 122944 128656 155488 159104 165206 169048 213796 245888 257312 310976 330412 338096 427592 514624 621952 660824 676192 855184 908633 1029248 1321648 1352384 1710368 1817266 2643296 2704768 3420736 3634532 5286592 6841472 7269064 10573184 14538128 29076256 58152512 116305024