Search a number
-
+
114187914 = 2337383349
BaseRepresentation
bin1101100111001…
…01111010001010
321221212100101000
412303211322022
5213213003124
615155235430
72554403241
oct663457212
9257770330
10114187914
1159502085
12322a8b76
131a870619
1411245958
15a0586c9
hex6ce5e8a

114187914 has 64 divisors (see below), whose sum is σ = 261072000. Its totient is φ = 36982656.

The previous prime is 114187901. The next prime is 114187933. The reversal of 114187914 is 419781411.

It is a happy number.

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, 327012 + ... + 327360.

It is an arithmetic number, because the mean of its divisors is an integer number (4079250).

Almost surely, 2114187914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114187914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130536000).

114187914 is an abundant number, since it is smaller than the sum of its proper divisors (146884086).

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

114187914 is a wasteful number, since it uses less digits than its factorization.

114187914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 510 counting only the distinct ones).

The product of its digits is 8064, while the sum is 36.

The square root of 114187914 is about 10685.8745079661. The cubic root of 114187914 is about 485.1470330415.

The spelling of 114187914 in words is "one hundred fourteen million, one hundred eighty-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 73 83 146 166 219 249 349 438 498 657 698 747 1047 1314 1494 1971 2094 2241 3141 3942 4482 6059 6282 9423 12118 18177 18846 25477 28967 36354 50954 54531 57934 76431 86901 109062 152862 163593 173802 229293 260703 327186 458586 521406 687879 782109 1375758 1564218 2114591 4229182 6343773 12687546 19031319 38062638 57093957 114187914