Search a number
-
+
114292320 = 2535238109
BaseRepresentation
bin1101100111111…
…11011001100000
321222001122120220
412303333121200
5213224323240
615201403040
72555316522
oct663773140
9258048526
10114292320
115957356a
1232339480
131a8a8cbc
1411271a12
15a0795d0
hex6cff660

114292320 has 48 divisors (see below), whose sum is σ = 360022320. Its totient is φ = 30477824.

The previous prime is 114292303. The next prime is 114292331. The reversal of 114292320 is 23292411.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118575 + ... + 119534.

It is an arithmetic number, because the mean of its divisors is an integer number (7500465).

Almost surely, 2114292320 is an apocalyptic number.

114292320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114292320 is an abundant number, since it is smaller than the sum of its proper divisors (245730000).

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

114292320 is a wasteful number, since it uses less digits than its factorization.

114292320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238127 (or 238119 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114292320 is about 10690.7586260284. The cubic root of 114292320 is about 485.2948502944.

Subtracting from 114292320 its reverse (23292411), we obtain a palindrome (90999909).

The spelling of 114292320 in words is "one hundred fourteen million, two hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 238109 476218 714327 952436 1190545 1428654 1904872 2381090 2857308 3571635 3809744 4762180 5714616 7143270 7619488 9524360 11429232 14286540 19048720 22858464 28573080 38097440 57146160 114292320