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114105180 = 223572631033
BaseRepresentation
bin1101100110100…
…01101101011100
321221201010212210
412303101231130
5213202331210
615153400420
72553610110
oct663215534
9257633783
10114105180
1159455a02
1232269110
131a841a77
1411223740
15a03de20
hex6cd1b5c

114105180 has 96 divisors (see below), whose sum is σ = 366879744. Its totient is φ = 25956864.

The previous prime is 114105179. The next prime is 114105181. The reversal of 114105180 is 81501411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114105179) and next prime (114105181).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114105181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109944 + ... + 110976.

It is an arithmetic number, because the mean of its divisors is an integer number (3821664).

Almost surely, 2114105180 is an apocalyptic number.

114105180 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 114105180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183439872).

114105180 is an abundant number, since it is smaller than the sum of its proper divisors (252774564).

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

114105180 is a wasteful number, since it uses less digits than its factorization.

114105180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 114105180 is about 10682.0026212317. The cubic root of 114105180 is about 485.0298348459.

Adding to 114105180 its reverse (81501411), we get a palindrome (195606591).

The spelling of 114105180 in words is "one hundred fourteen million, one hundred five thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 263 420 526 789 1033 1052 1315 1578 1841 2066 2630 3099 3156 3682 3945 4132 5165 5260 5523 6198 7231 7364 7890 9205 10330 11046 12396 14462 15495 15780 18410 20660 21693 22092 27615 28924 30990 36155 36820 43386 55230 61980 72310 86772 108465 110460 144620 216930 271679 433860 543358 815037 1086716 1358395 1630074 1901753 2716790 3260148 3803506 4075185 5433580 5705259 7607012 8150370 9508765 11410518 16300740 19017530 22821036 28526295 38035060 57052590 114105180