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114611016 = 233132953239
BaseRepresentation
bin1101101010011…
…01001101001000
321222122211202110
412311031031020
5213320023031
615212302320
72561114622
oct665151510
9258584673
10114611016
1159770a53
12324719a0
131a98b090
1411315c12
15a0ddc46
hex6d4d348

114611016 has 128 divisors (see below), whose sum is σ = 326592000. Its totient is φ = 33266688.

The previous prime is 114610973. The next prime is 114611027. The reversal of 114611016 is 610116411.

It is a junction number, because it is equal to n+sod(n) for n = 114610983 and 114611001.

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 31 ways as a sum of consecutive naturals, for example, 479425 + ... + 479663.

It is an arithmetic number, because the mean of its divisors is an integer number (2551500).

Almost surely, 2114611016 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 114611016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163296000).

114611016 is an abundant number, since it is smaller than the sum of its proper divisors (211980984).

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

114611016 is a wasteful number, since it uses less digits than its factorization.

114611016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 114611016 is about 10705.6534597380. The cubic root of 114611016 is about 485.7455017341.

Adding to 114611016 its reverse (610116411), we get a palindrome (724727427).

The spelling of 114611016 in words is "one hundred fourteen million, six hundred eleven thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 53 58 78 87 104 106 116 156 159 174 212 232 239 312 318 348 377 424 478 636 689 696 717 754 956 1131 1272 1378 1434 1508 1537 1912 2067 2262 2756 2868 3016 3074 3107 4134 4524 4611 5512 5736 6148 6214 6931 8268 9048 9222 9321 12296 12428 12667 13862 16536 18444 18642 19981 20793 24856 25334 27724 36888 37284 38001 39962 41586 50668 55448 59943 74568 76002 79924 83172 90103 101336 119886 152004 159848 164671 166344 180206 239772 270309 304008 329342 360412 367343 479544 494013 540618 658684 720824 734686 988026 1081236 1102029 1317368 1469372 1976052 2162472 2204058 2938744 3952104 4408116 4775459 8816232 9550918 14326377 19101836 28652754 38203672 57305508 114611016