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114402420 = 2232511193041
BaseRepresentation
bin1101101000110…
…10010001110100
321222021020121200
412310122101310
5213241334140
615204012500
72556255516
oct664322164
9258236550
10114402420
1159639260
1232391130
131a917152
141129dbb6
15a09c030
hex6d1a474

114402420 has 144 divisors (see below), whose sum is σ = 398623680. Its totient is φ = 26265600.

The previous prime is 114402413. The next prime is 114402427. The reversal of 114402420 is 24204411.

It is an interprime number because it is at equal distance from previous prime (114402413) and next prime (114402427).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 114402393 and 114402402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114402427) 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 47 ways as a sum of consecutive naturals, for example, 36100 + ... + 39140.

It is an arithmetic number, because the mean of its divisors is an integer number (2768220).

Almost surely, 2114402420 is an apocalyptic number.

114402420 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 114402420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199311840).

114402420 is an abundant number, since it is smaller than the sum of its proper divisors (284221260).

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

114402420 is a wasteful number, since it uses less digits than its factorization.

114402420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 114402420 is about 10695.9066936843. The cubic root of 114402420 is about 485.4506315844.

Adding to 114402420 its reverse (24204411), we get a palindrome (138606831).

The spelling of 114402420 in words is "one hundred fourteen million, four hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3041 3135 3420 3762 4180 6082 6270 7524 9123 9405 12164 12540 15205 18246 18810 27369 30410 33451 36492 37620 45615 54738 57779 60820 66902 91230 100353 109476 115558 133804 136845 167255 173337 182460 200706 231116 273690 288895 301059 334510 346674 401412 501765 520011 547380 577790 602118 635569 669020 693348 866685 1003530 1040022 1155580 1204236 1271138 1505295 1733370 1906707 2007060 2080044 2542276 2600055 3010590 3177845 3466740 3813414 5200110 5720121 6021180 6355690 7626828 9533535 10400220 11440242 12711380 19067070 22880484 28600605 38134140 57201210 114402420