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114135424 = 2713113607
BaseRepresentation
bin1101100110110…
…01000110000000
321221202200100221
412303121012000
5213204313144
615154152424
72554064224
oct663310600
9257680327
10114135424
11594766a7
1232282714
131a852770
1411230784
15a047d84
hex6cd9180

114135424 has 64 divisors (see below), whose sum is σ = 247443840. Its totient is φ = 52125696.

The previous prime is 114135419. The next prime is 114135443. The reversal of 114135424 is 424531411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 187729 + ... + 188335.

It is an arithmetic number, because the mean of its divisors is an integer number (3866310).

Almost surely, 2114135424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123721920).

114135424 is an abundant number, since it is smaller than the sum of its proper divisors (133308416).

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

114135424 is a wasteful number, since it uses less digits than its factorization.

114135424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 735 counting only the distinct ones).

The product of its digits is 1920, while the sum is 25.

The square root of 114135424 is about 10683.4181795903. The cubic root of 114135424 is about 485.0726840442.

Adding to 114135424 its reverse (424531411), we get a palindrome (538666835).

The spelling of 114135424 in words is "one hundred fourteen million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 416 452 607 832 904 1214 1469 1664 1808 2428 2938 3616 4856 5876 7232 7891 9712 11752 14464 15782 19424 23504 31564 38848 47008 63128 68591 77696 94016 126256 137182 188032 252512 274364 505024 548728 891683 1010048 1097456 1783366 2194912 3566732 4389824 7133464 8779648 14266928 28533856 57067712 114135424