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114135330 = 23543103859
BaseRepresentation
bin1101100110110…
…01000100100010
321221202200020110
412303121010202
5213204312310
615154152150
72554064031
oct663310442
9257680213
10114135330
1159476621
1232282656
131a8526ca
1411230718
15a047d20
hex6cd9122

114135330 has 64 divisors (see below), whose sum is σ = 283345920. Its totient is φ = 29405376.

The previous prime is 114135289. The next prime is 114135367. The reversal of 114135330 is 33531411.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 114135297 and 114135306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132441 + ... + 133299.

It is an arithmetic number, because the mean of its divisors is an integer number (4427280).

Almost surely, 2114135330 is an apocalyptic number.

114135330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114135330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141672960).

114135330 is an abundant number, since it is smaller than the sum of its proper divisors (169210590).

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

114135330 is a wasteful number, since it uses less digits than its factorization.

114135330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015.

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 114135330 is about 10683.4137802483. The cubic root of 114135330 is about 485.0725508783.

Adding to 114135330 its reverse (33531411), we get a palindrome (147666741).

The spelling of 114135330 in words is "one hundred fourteen million, one hundred thirty-five thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 43 86 103 129 206 215 258 309 430 515 618 645 859 1030 1290 1545 1718 2577 3090 4295 4429 5154 8590 8858 12885 13287 22145 25770 26574 36937 44290 66435 73874 88477 110811 132870 176954 184685 221622 265431 369370 442385 530862 554055 884770 1108110 1327155 2654310 3804511 7609022 11413533 19022555 22827066 38045110 57067665 114135330