Search a number
-
+
114135372 = 22331381293
BaseRepresentation
bin1101100110110…
…01000101001100
321221202200022000
412303121011030
5213204312442
615154152300
72554064121
oct663310514
9257680260
10114135372
115947665a
1232282690
131a852730
1411230748
15a047d4c
hex6cd914c

114135372 has 48 divisors (see below), whose sum is σ = 318672480. Its totient is φ = 35118144.

The previous prime is 114135367. The next prime is 114135377. The reversal of 114135372 is 273531411.

114135372 is a `hidden beast` number, since 114 + 13 + 537 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (114135367) and next prime (114135377).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (114135377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39243 + ... + 42050.

It is an arithmetic number, because the mean of its divisors is an integer number (6639010).

Almost surely, 2114135372 is an apocalyptic number.

114135372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114135372 is an abundant number, since it is smaller than the sum of its proper divisors (204537108).

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

114135372 is a wasteful number, since it uses less digits than its factorization.

114135372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81319 (or 81311 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 114135372 is about 10683.4157459120. The cubic root of 114135372 is about 485.0726103780.

Adding to 114135372 its reverse (273531411), we get a palindrome (387666783).

The spelling of 114135372 in words is "one hundred fourteen million, one hundred thirty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 81293 162586 243879 325172 487758 731637 975516 1056809 1463274 2113618 2194911 2926548 3170427 4227236 4389822 6340854 8779644 9511281 12681708 19022562 28533843 38045124 57067686 114135372