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114025260 = 223523531559
BaseRepresentation
bin1101100101111…
…10001100101100
321221120002020210
412302332030230
5213142302020
615151542420
72553125106
oct662761454
9257502223
10114025260
1159400958
123222aa10
131a81458b
1411202576
15a0253e0
hex6cbe32c

114025260 has 96 divisors (see below), whose sum is σ = 339655680. Its totient is φ = 28517632.

The previous prime is 114025253. The next prime is 114025267. The reversal of 114025260 is 62520411.

It is an interprime number because it is at equal distance from previous prime (114025253) and next prime (114025267).

It is not an unprimeable number, because it can be changed into a prime (114025267) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72361 + ... + 73919.

It is an arithmetic number, because the mean of its divisors is an integer number (3538080).

Almost surely, 2114025260 is an apocalyptic number.

114025260 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 114025260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169827840).

114025260 is an abundant number, since it is smaller than the sum of its proper divisors (225630420).

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

114025260 is a wasteful number, since it uses less digits than its factorization.

114025260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 114025260 is about 10678.2610943917. The cubic root of 114025260 is about 484.9165690619.

Adding to 114025260 its reverse (62520411), we get a palindrome (176545671).

The spelling of 114025260 in words is "one hundred fourteen million, twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 53 60 69 92 106 115 138 159 212 230 265 276 318 345 460 530 636 690 795 1060 1219 1380 1559 1590 2438 3118 3180 3657 4677 4876 6095 6236 7314 7795 9354 12190 14628 15590 18285 18708 23385 24380 31180 35857 36570 46770 71714 73140 82627 93540 107571 143428 165254 179285 215142 247881 330508 358570 413135 430284 495762 537855 717140 826270 991524 1075710 1239405 1652540 1900421 2151420 2478810 3800842 4957620 5701263 7601684 9502105 11402526 19004210 22805052 28506315 38008420 57012630 114025260