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114241580 = 225411271097
BaseRepresentation
bin1101100111100…
…11000000101100
321221222001222122
412303303000230
5213221212310
615200332112
72555015555
oct663630054
9257861878
10114241580
1159539432
1232314038
131a88bb8b
141125b32c
15a069555
hex6cf302c

114241580 has 48 divisors (see below), whose sum is σ = 247919616. Its totient is φ = 44190720.

The previous prime is 114241573. The next prime is 114241597. The reversal of 114241580 is 85142411.

It is a super-2 number, since 2×1142415802 = 26102277201792800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 103592 + ... + 104688.

It is an arithmetic number, because the mean of its divisors is an integer number (5164992).

Almost surely, 2114241580 is an apocalyptic number.

114241580 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 114241580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123959808).

114241580 is an abundant number, since it is smaller than the sum of its proper divisors (133678036).

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

114241580 is a wasteful number, since it uses less digits than its factorization.

114241580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274 (or 1272 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 114241580 is about 10688.3852849717. The cubic root of 114241580 is about 485.2230242215.

Adding to 114241580 its reverse (85142411), we get a palindrome (199383991).

The spelling of 114241580 in words is "one hundred fourteen million, two hundred forty-one thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 41 82 127 164 205 254 410 508 635 820 1097 1270 2194 2540 4388 5207 5485 10414 10970 20828 21940 26035 44977 52070 89954 104140 139319 179908 224885 278638 449770 557276 696595 899540 1393190 2786380 5712079 11424158 22848316 28560395 57120790 114241580