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114127328 = 2574671091
BaseRepresentation
bin1101100110101…
…11000111100000
321221202021021002
412303113013200
5213204033303
615154051132
72554031510
oct663270740
9257667232
10114127328
1159470607
1232279aa8
131a84bb83
141122b840
15a045788
hex6cd71e0

114127328 has 48 divisors (see below), whose sum is σ = 257572224. Its totient is φ = 48762240.

The previous prime is 114127301. The next prime is 114127369. The reversal of 114127328 is 823721411.

It is a self number, because there is not a number n which added to its sum of digits gives 114127328.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104063 + ... + 105153.

It is an arithmetic number, because the mean of its divisors is an integer number (5366088).

Almost surely, 2114127328 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 114127328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128786112).

114127328 is an abundant number, since it is smaller than the sum of its proper divisors (143444896).

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

114127328 is a wasteful number, since it uses less digits than its factorization.

114127328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1567 counting only the distinct ones).

The product of its digits is 2688, while the sum is 29.

The square root of 114127328 is about 10683.0392679237. The cubic root of 114127328 is about 485.0612145075.

Adding to 114127328 its reverse (823721411), we get a palindrome (937848739).

The spelling of 114127328 in words is "one hundred fourteen million, one hundred twenty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 467 934 1091 1868 2182 3269 3736 4364 6538 7472 7637 8728 13076 14944 15274 17456 26152 30548 34912 52304 61096 104608 122192 244384 509497 1018994 2037988 3566479 4075976 7132958 8151952 14265916 16303904 28531832 57063664 114127328