Search a number
-
+
114314592 = 2537170111
BaseRepresentation
bin1101101000001…
…00110101100000
321222002210010210
412310010311200
5213231031332
615202054120
72555441460
oct664046540
9258083123
10114314592
1159589277
123234a340
131a8b6192
1411279ba0
15a080ecc
hex6d04d60

114314592 has 48 divisors (see below), whose sum is σ = 342945792. Its totient is φ = 32661120.

The previous prime is 114314567. The next prime is 114314617. The reversal of 114314592 is 295413411.

It is an interprime number because it is at equal distance from previous prime (114314567) and next prime (114314617).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 84384 + ... + 85727.

It is an arithmetic number, because the mean of its divisors is an integer number (7144704).

Almost surely, 2114314592 is an apocalyptic number.

114314592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114314592 is an abundant number, since it is smaller than the sum of its proper divisors (228631200).

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

114314592 is a wasteful number, since it uses less digits than its factorization.

114314592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170131 (or 170123 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 114314592 is about 10691.8002226005. The cubic root of 114314592 is about 485.3263711784.

The spelling of 114314592 in words is "one hundred fourteen million, three hundred fourteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 170111 340222 510333 680444 1020666 1190777 1360888 2041332 2381554 2721776 3572331 4082664 4763108 5443552 7144662 8165328 9526216 14289324 16330656 19052432 28578648 38104864 57157296 114314592