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114430580 = 225111134603
BaseRepresentation
bin1101101001000…
…01001001110100
321222022200020122
412310201021310
5213243234310
615204351112
72556433565
oct664411164
9258280218
10114430580
1159658430
12323a5498
131a926c04
14112aa16c
15a0a5555
hex6d21274

114430580 has 48 divisors (see below), whose sum is σ = 264527424. Its totient is φ = 41233920.

The previous prime is 114430567. The next prime is 114430601. The reversal of 114430580 is 85034411.

It is a super-3 number, since 3×1144305803 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22559 + ... + 27161.

It is an arithmetic number, because the mean of its divisors is an integer number (5510988).

Almost surely, 2114430580 is an apocalyptic number.

114430580 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 114430580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132263712).

114430580 is an abundant number, since it is smaller than the sum of its proper divisors (150096844).

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

114430580 is a wasteful number, since it uses less digits than its factorization.

114430580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4736 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 114430580 is about 10697.2230041259. The cubic root of 114430580 is about 485.4904593209.

Adding to 114430580 its reverse (85034411), we get a palindrome (199464991).

The spelling of 114430580 in words is "one hundred fourteen million, four hundred thirty thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 113 220 226 452 565 1130 1243 2260 2486 4603 4972 6215 9206 12430 18412 23015 24860 46030 50633 92060 101266 202532 253165 506330 520139 1012660 1040278 2080556 2600695 5201390 5721529 10402780 11443058 22886116 28607645 57215290 114430580