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114786384 = 24361197199
BaseRepresentation
bin1101101011110…
…00000001010000
321222222202022120
412311320001100
5213341131014
615220134240
72562445116
oct665700120
9258882276
10114786384
1159880789
1232537380
131aa1cb4b
141135dab6
15a125ba9
hex6d78050

114786384 has 80 divisors (see below), whose sum is σ = 304444800. Its totient is φ = 37255680.

The previous prime is 114786377. The next prime is 114786421. The reversal of 114786384 is 483687411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576717 + ... + 576915.

It is an arithmetic number, because the mean of its divisors is an integer number (3805560).

Almost surely, 2114786384 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 114786384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152222400).

114786384 is an abundant number, since it is smaller than the sum of its proper divisors (189658416).

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

114786384 is a wasteful number, since it uses less digits than its factorization.

114786384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 114786384 is about 10713.8407679039. The cubic root of 114786384 is about 485.9931242571.

The spelling of 114786384 in words is "one hundred fourteen million, seven hundred eighty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 197 199 244 366 394 398 488 591 597 732 788 796 976 1182 1194 1464 1576 1592 2364 2388 2928 3152 3184 4728 4776 9456 9552 12017 12139 24034 24278 36051 36417 39203 48068 48556 72102 72834 78406 96136 97112 117609 144204 145668 156812 192272 194224 235218 288408 291336 313624 470436 576816 582672 627248 940872 1881744 2391383 4782766 7174149 9565532 14348298 19131064 28696596 38262128 57393192 114786384