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114041130 = 23572233373
BaseRepresentation
bin1101100110000…
…10000100101010
321221120220000120
412303002010222
5213143304010
615152144110
72553222300
oct663020452
9257526016
10114041130
1159411875
1232238036
131a81b878
1411208270
15a029e70
hex6cc212a

114041130 has 96 divisors (see below), whose sum is σ = 332325504. Its totient is φ = 24925824.

The previous prime is 114041119. The next prime is 114041143. The reversal of 114041130 is 31140411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32124 + ... + 35496.

It is an arithmetic number, because the mean of its divisors is an integer number (3461724).

Almost surely, 2114041130 is an apocalyptic number.

114041130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114041130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166162752).

114041130 is an abundant number, since it is smaller than the sum of its proper divisors (218284374).

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

114041130 is a wasteful number, since it uses less digits than its factorization.

114041130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420 (or 3413 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 114041130 is about 10679.0041670560. The cubic root of 114041130 is about 484.9390648637.

Adding to 114041130 its reverse (31140411), we get a palindrome (145181541).

The spelling of 114041130 in words is "one hundred fourteen million, forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 49 69 70 98 105 115 138 147 161 210 230 245 294 322 345 483 490 690 735 805 966 1127 1470 1610 2254 2415 3373 3381 4830 5635 6746 6762 10119 11270 16865 16905 20238 23611 33730 33810 47222 50595 70833 77579 101190 118055 141666 155158 165277 232737 236110 330554 354165 387895 465474 495831 543053 708330 775790 826385 991662 1086106 1163685 1629159 1652770 2327370 2479155 2715265 3258318 3801371 4958310 5430530 7602742 8145795 11404113 16291590 19006855 22808226 38013710 57020565 114041130