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114523424 = 2517316791
BaseRepresentation
bin1101101001101…
…11110100100000
321222111101121022
412310313310200
5213304222144
615210345012
72560301351
oct664676440
9258441538
10114523424
1159711164
123242b168
131a95a252
14112d1d28
15a0c2cee
hex6d37d20

114523424 has 48 divisors (see below), whose sum is σ = 246468096. Its totient is φ = 52147200.

The previous prime is 114523411. The next prime is 114523427. The reversal of 114523424 is 424325411.

It is a super-2 number, since 2×1145234242 = 26231229289367552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114523393 and 114523402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114523427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13469 + ... + 20259.

It is an arithmetic number, because the mean of its divisors is an integer number (5134752).

Almost surely, 2114523424 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 114523424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123234048).

114523424 is an abundant number, since it is smaller than the sum of its proper divisors (131944672).

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

114523424 is a wasteful number, since it uses less digits than its factorization.

114523424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6849 (or 6841 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 114523424 is about 10701.5617551832. The cubic root of 114523424 is about 485.6217257798.

Adding to 114523424 its reverse (424325411), we get a palindrome (538848835).

The spelling of 114523424 in words is "one hundred fourteen million, five hundred twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 496 527 544 992 1054 2108 4216 6791 8432 13582 16864 27164 54328 108656 115447 210521 217312 230894 421042 461788 842084 923576 1684168 1847152 3368336 3578857 3694304 6736672 7157714 14315428 28630856 57261712 114523424