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114275808 = 2532463857
BaseRepresentation
bin1101100111110…
…11010111100000
321222000210221100
412303323113200
5213223311213
615201154400
72555220423
oct663732740
9258023840
10114275808
1159562119
123232ba00
131a8a162a
14112699ba
15a074773
hex6cfb5e0

114275808 has 72 divisors (see below), whose sum is σ = 326053728. Its totient is φ = 37965312.

The previous prime is 114275801. The next prime is 114275839. The reversal of 114275808 is 808572411.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114275801) 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, 132916 + ... + 133772.

It is an arithmetic number, because the mean of its divisors is an integer number (4528524).

Almost surely, 2114275808 is an apocalyptic number.

114275808 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 114275808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163026864).

114275808 is an abundant number, since it is smaller than the sum of its proper divisors (211777920).

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

114275808 is a wasteful number, since it uses less digits than its factorization.

114275808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 114275808 is about 10689.9863423673. The cubic root of 114275808 is about 485.2714787196.

The spelling of 114275808 in words is "one hundred fourteen million, two hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 463 857 926 1389 1714 1852 2571 2778 3428 3704 4167 5142 5556 6856 7408 7713 8334 10284 11112 13712 14816 15426 16668 20568 22224 27424 30852 33336 41136 44448 61704 66672 82272 123408 133344 246816 396791 793582 1190373 1587164 2380746 3174328 3571119 4761492 6348656 7142238 9522984 12697312 14284476 19045968 28568952 38091936 57137904 114275808