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114148260 = 22325634157
BaseRepresentation
bin1101100110111…
…00001110100100
321221210022222100
412303130032210
5213210221020
615154332100
72554146522
oct663341644
9257708870
10114148260
1159485306
123228a030
131a858565
1411235312
15a04ba90
hex6cdc3a4

114148260 has 36 divisors (see below), whose sum is σ = 346250268. Its totient is φ = 30439488.

The previous prime is 114148249. The next prime is 114148271. The reversal of 114148260 is 62841411.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (114148249) and next prime (114148271).

It can be written as a sum of positive squares in 2 ways, for example, as 83942244 + 30206016 = 9162^2 + 5496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1141482602 = 26059650522055200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 316899 + ... + 317258.

It is an arithmetic number, because the mean of its divisors is an integer number (9618063).

Almost surely, 2114148260 is an apocalyptic number.

114148260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114148260 is an abundant number, since it is smaller than the sum of its proper divisors (232102008).

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

114148260 is a wasteful number, since it uses less digits than its factorization.

114148260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634172 (or 634167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 114148260 is about 10684.0189067598. The cubic root of 114148260 is about 485.0908675884.

Adding to 114148260 its reverse (62841411), we get a palindrome (176989671).

The spelling of 114148260 in words is "one hundred fourteen million, one hundred forty-eight thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 634157 1268314 1902471 2536628 3170785 3804942 5707413 6341570 7609884 9512355 11414826 12683140 19024710 22829652 28537065 38049420 57074130 114148260