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114041928 = 2337111347101
BaseRepresentation
bin1101100110000…
…10010001001000
321221120221010010
412303002101020
5213143320203
615152151520
72553224520
oct663022110
9257527103
10114041928
1159412430
12322385a0
131a81c040
1411208680
15a02a303
hex6cc2448

114041928 has 256 divisors, whose sum is σ = 394813440. Its totient is φ = 26496000.

The previous prime is 114041911. The next prime is 114041929. The reversal of 114041928 is 829140411.

It is a super-2 number, since 2×1140419282 = 26011122683914368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114041895 and 114041904.

It is not an unprimeable number, because it can be changed into a prime (114041929) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1129078 + ... + 1129178.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 2114041928 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 114041928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197406720).

114041928 is an abundant number, since it is smaller than the sum of its proper divisors (280771512).

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

114041928 is a wasteful number, since it uses less digits than its factorization.

114041928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 114041928 is about 10679.0415300251. The cubic root of 114041928 is about 484.9401959774.

The spelling of 114041928 in words is "one hundred fourteen million, forty-one thousand, nine hundred twenty-eight".