Search a number
-
+
114141240 = 233251392281
BaseRepresentation
bin1101100110110…
…10100000111000
321221202222100100
412303122200320
5213210004430
615154235400
72554120203
oct663324070
9257688310
10114141240
1159480004
1232285b60
131a8552c5
141123293a
15a049960
hex6cda838

114141240 has 96 divisors (see below), whose sum is σ = 373791600. Its totient is φ = 30205440.

The previous prime is 114141199. The next prime is 114141257. The reversal of 114141240 is 42141411.

114141240 is a `hidden beast` number, since 11 + 414 + 1 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 48900 + ... + 51180.

Almost surely, 2114141240 is an apocalyptic number.

114141240 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 114141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186895800).

114141240 is an abundant number, since it is smaller than the sum of its proper divisors (259650360).

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

114141240 is a wasteful number, since it uses less digits than its factorization.

114141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2437 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 114141240 is about 10683.6903736490. The cubic root of 114141240 is about 485.0809231889.

Adding to 114141240 its reverse (42141411), we get a palindrome (156282651).

The spelling of 114141240 in words is "one hundred fourteen million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 139 180 278 360 417 556 695 834 1112 1251 1390 1668 2085 2281 2502 2780 3336 4170 4562 5004 5560 6255 6843 8340 9124 10008 11405 12510 13686 16680 18248 20529 22810 25020 27372 34215 41058 45620 50040 54744 68430 82116 91240 102645 136860 164232 205290 273720 317059 410580 634118 821160 951177 1268236 1585295 1902354 2536472 2853531 3170590 3804708 4755885 5707062 6341180 7609416 9511770 11414124 12682360 14267655 19023540 22828248 28535310 38047080 57070620 114141240