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114281024 = 26111312487
BaseRepresentation
bin1101100111111…
…00101001000000
321222001002002112
412303330221000
5213223443044
615201234452
72555241554
oct663745100
9258032075
10114281024
1159566030
1232332a28
131a8a3b10
141126b864
15a07609e
hex6cfca40

114281024 has 56 divisors (see below), whose sum is σ = 266443968. Its totient is φ = 47946240.

The previous prime is 114281009. The next prime is 114281039. The reversal of 114281024 is 420182411.

It is an interprime number because it is at equal distance from previous prime (114281009) and next prime (114281039).

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 7 ways as a sum of consecutive naturals, for example, 2909 + ... + 15395.

It is an arithmetic number, because the mean of its divisors is an integer number (4757928).

Almost surely, 2114281024 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 114281024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133221984).

114281024 is an abundant number, since it is smaller than the sum of its proper divisors (152162944).

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

114281024 is a wasteful number, since it uses less digits than its factorization.

114281024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12523 (or 12513 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 114281024 is about 10690.2303062189. The cubic root of 114281024 is about 485.2788618440.

The spelling of 114281024 in words is "one hundred fourteen million, two hundred eighty-one thousand, twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2288 4576 9152 12487 24974 49948 99896 137357 162331 199792 274714 324662 399584 549428 649324 799168 1098856 1298648 1785641 2197712 2597296 3571282 4395424 5194592 7142564 8790848 10389184 14285128 28570256 57140512 114281024