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114138260 = 225411091277
BaseRepresentation
bin1101100110110…
…01110010010100
321221202211020222
412303121302110
5213204411020
615154213512
72554105415
oct663316224
9257684228
10114138260
1159478845
1232284298
131a853b42
141123180c
15a048b25
hex6cd9c94

114138260 has 48 divisors (see below), whose sum is σ = 247983120. Its totient is φ = 44098560.

The previous prime is 114138257. The next prime is 114138281. The reversal of 114138260 is 62831411.

It can be written as a sum of positive squares in 8 ways, for example, as 3341584 + 110796676 = 1828^2 + 10526^2 .

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, 88742 + ... + 90018.

It is an arithmetic number, because the mean of its divisors is an integer number (5166315).

Almost surely, 2114138260 is an apocalyptic number.

114138260 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 114138260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123991560).

114138260 is an abundant number, since it is smaller than the sum of its proper divisors (133844860).

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

114138260 is a wasteful number, since it uses less digits than its factorization.

114138260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 114138260 is about 10683.5509078209. The cubic root of 114138260 is about 485.0767016538.

Adding to 114138260 its reverse (62831411), we get a palindrome (176969671).

The spelling of 114138260 in words is "one hundred fourteen million, one hundred thirty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 109 164 205 218 410 436 545 820 1090 1277 2180 2554 4469 5108 6385 8938 12770 17876 22345 25540 44690 52357 89380 104714 139193 209428 261785 278386 523570 556772 695965 1047140 1391930 2783860 5706913 11413826 22827652 28534565 57069130 114138260