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114186280 = 235131712917
BaseRepresentation
bin1101100111001…
…01100000101000
321221212021010111
412303211200220
5213212430110
615155224104
72554365415
oct663454050
9257767114
10114186280
115950092a
12322a8034
131a86c960
141124510c
15a057e8a
hex6ce5828

114186280 has 64 divisors (see below), whose sum is σ = 292980240. Its totient is φ = 39677952.

The previous prime is 114186269. The next prime is 114186287. The reversal of 114186280 is 82681411.

It can be written as a sum of positive squares in 8 ways, for example, as 46321636 + 67864644 = 6806^2 + 8238^2 .

It is not an unprimeable number, because it can be changed into a prime (114186287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2382 + ... + 15298.

Almost surely, 2114186280 is an apocalyptic number.

114186280 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 114186280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146490120).

114186280 is an abundant number, since it is smaller than the sum of its proper divisors (178793960).

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

114186280 is a wasteful number, since it uses less digits than its factorization.

114186280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958 (or 12954 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The square root of 114186280 is about 10685.7980516197. The cubic root of 114186280 is about 485.1447189203.

The spelling of 114186280 in words is "one hundred fourteen million, one hundred eighty-six thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 12917 25834 51668 64585 103336 129170 167921 219589 258340 335842 439178 516680 671684 839605 878356 1097945 1343368 1679210 1756712 2195890 2854657 3358420 4391780 5709314 6716840 8783560 11418628 14273285 22837256 28546570 57093140 114186280