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114284984 = 2311310733
BaseRepresentation
bin1101100111111…
…01100110111000
321222001021112012
412303331212320
5213224104414
615201305052
72555256242
oct663754670
9258037465
10114284984
1159569000
1232335188
131a8a5868
141126d092
15a07733e
hex6cfd9b8

114284984 has 32 divisors (see below), whose sum is σ = 235718640. Its totient is φ = 51942880.

The previous prime is 114284983. The next prime is 114284987. The reversal of 114284984 is 489482411.

It is a happy number.

It is a super-2 number, since 2×1142849842 = 26122115135760512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114284983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5282 + ... + 16014.

Almost surely, 2114284984 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 114284984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117859320).

114284984 is an abundant number, since it is smaller than the sum of its proper divisors (121433656).

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

114284984 is a wasteful number, since it uses less digits than its factorization.

114284984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10772 (or 10746 counting only the distinct ones).

The product of its digits is 73728, while the sum is 41.

The square root of 114284984 is about 10690.4155204557. The cubic root of 114284984 is about 485.2844669802.

The spelling of 114284984 in words is "one hundred fourteen million, two hundred eighty-four thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 1331 2662 5324 10648 10733 21466 42932 85864 118063 236126 472252 944504 1298693 2597386 5194772 10389544 14285623 28571246 57142492 114284984