Search a number
-
+
114113240 = 23519532833
BaseRepresentation
bin1101100110100…
…11101011011000
321221201112221022
412303103223120
5213203110430
615153502012
72553642443
oct663235330
9257645838
10114113240
1159460a6a
1232271908
131a845637
141122665a
15a0414e5
hex6cd3ad8

114113240 has 64 divisors (see below), whose sum is σ = 275464800. Its totient is φ = 42412032.

The previous prime is 114113239. The next prime is 114113273. The reversal of 114113240 is 42311411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38864 + ... + 41696.

Almost surely, 2114113240 is an apocalyptic number.

114113240 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 114113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137732400).

114113240 is an abundant number, since it is smaller than the sum of its proper divisors (161351560).

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

114113240 is a wasteful number, since it uses less digits than its factorization.

114113240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 114113240 is about 10682.3798846512. The cubic root of 114113240 is about 485.0412548603.

Adding to 114113240 its reverse (42311411), we get a palindrome (156424651).

The spelling of 114113240 in words is "one hundred fourteen million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 53 76 95 106 152 190 212 265 380 424 530 760 1007 1060 2014 2120 2833 4028 5035 5666 8056 10070 11332 14165 20140 22664 28330 40280 53827 56660 107654 113320 150149 215308 269135 300298 430616 538270 600596 750745 1076540 1201192 1501490 2153080 2852831 3002980 5705662 6005960 11411324 14264155 22822648 28528310 57056620 114113240