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114470280 = 23335831277
BaseRepresentation
bin1101101001010…
…10110110001000
321222101200201000
412310222312020
5213301022110
615205255000
72556660411
oct664526610
9258350630
10114470280
1159685241
1232404460
131a93bcc2
14112ba808
15a0b21c0
hex6d2ad88

114470280 has 128 divisors (see below), whose sum is σ = 386467200. Its totient is φ = 30134016.

The previous prime is 114470273. The next prime is 114470281. The reversal of 114470280 is 82074411.

114470280 is a `hidden beast` number, since 114 + 470 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114470281) 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 31 ways as a sum of consecutive naturals, for example, 89002 + ... + 90278.

It is an arithmetic number, because the mean of its divisors is an integer number (3019275).

Almost surely, 2114470280 is an apocalyptic number.

114470280 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 114470280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193233600).

114470280 is an abundant number, since it is smaller than the sum of its proper divisors (271996920).

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

114470280 is a wasteful number, since it uses less digits than its factorization.

114470280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380 (or 1370 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114470280 is about 10699.0784649894. The cubic root of 114470280 is about 485.5465974113.

The spelling of 114470280 in words is "one hundred fourteen million, four hundred seventy thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 83 90 108 120 135 166 180 216 249 270 332 360 415 498 540 664 747 830 996 1080 1245 1277 1494 1660 1992 2241 2490 2554 2988 3320 3735 3831 4482 4980 5108 5976 6385 7470 7662 8964 9960 10216 11205 11493 12770 14940 15324 17928 19155 22410 22986 25540 29880 30648 34479 38310 44820 45972 51080 57465 68958 76620 89640 91944 105991 114930 137916 153240 172395 211982 229860 275832 317973 344790 423964 459720 529955 635946 689580 847928 953919 1059910 1271892 1379160 1589865 1907838 2119820 2543784 2861757 3179730 3815676 4239640 4769595 5723514 6359460 7631352 9539190 11447028 12718920 14308785 19078380 22894056 28617570 38156760 57235140 114470280