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114020208 = 24322393313
BaseRepresentation
bin1101100101111…
…00111101110000
321221112211022200
412302330331300
5213142121313
615151503200
72553104301
oct662747560
9257484280
10114020208
11593a8085
1232227b00
131a8121a3
14112007a8
15a023b73
hex6cbcf70

114020208 has 60 divisors (see below), whose sum is σ = 320530080. Its totient is φ = 37836288.

The previous prime is 114020191. The next prime is 114020209. The reversal of 114020208 is 802020411.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114020209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32760 + ... + 36072.

It is an arithmetic number, because the mean of its divisors is an integer number (5342168).

Almost surely, 2114020208 is an apocalyptic number.

114020208 is a gapful number since it is divisible by the number (18) 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 114020208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160265040).

114020208 is an abundant number, since it is smaller than the sum of its proper divisors (206509872).

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

114020208 is a wasteful number, since it uses less digits than its factorization.

114020208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3557 counting only the distinct ones).

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

The square root of 114020208 is about 10678.0245364019. The cubic root of 114020208 is about 484.9094073894.

Adding to 114020208 its reverse (802020411), we get a palindrome (916040619).

The spelling of 114020208 in words is "one hundred fourteen million, twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3313 3824 4302 5736 6626 8604 9939 11472 13252 17208 19878 26504 29817 34416 39756 53008 59634 79512 119268 159024 238536 477072 791807 1583614 2375421 3167228 4750842 6334456 7126263 9501684 12668912 14252526 19003368 28505052 38006736 57010104 114020208