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114240320 = 265794519
BaseRepresentation
bin1101100111100…
…10101101000000
321221222000020222
412303302231000
5213221142240
615200322212
72555012105
oct663625500
9257860228
10114240320
1159538497
1232313368
131a88b42c
141125aaac
15a068eb5
hex6cf2b40

114240320 has 56 divisors (see below), whose sum is σ = 275539200. Its totient is φ = 45107712.

The previous prime is 114240319. The next prime is 114240337. The reversal of 114240320 is 23042411.

It is a plaindrome in base 14.

It is a congruent number.

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, 23021 + ... + 27539.

Almost surely, 2114240320 is an apocalyptic number.

114240320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114240320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137769600).

114240320 is an abundant number, since it is smaller than the sum of its proper divisors (161298880).

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

114240320 is an equidigital number, since it uses as much as digits as its factorization.

114240320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4605 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 114240320 is about 10688.3263423232. The cubic root of 114240320 is about 485.2212403314.

Adding to 114240320 its reverse (23042411), we get a palindrome (137282731).

The spelling of 114240320 in words is "one hundred fourteen million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 158 160 316 320 395 632 790 1264 1580 2528 3160 4519 5056 6320 9038 12640 18076 22595 25280 36152 45190 72304 90380 144608 180760 289216 357001 361520 714002 723040 1428004 1446080 1785005 2856008 3570010 5712016 7140020 11424032 14280040 22848064 28560080 57120160 114240320