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114470928 = 2433111317109
BaseRepresentation
bin1101101001010…
…11000000010000
321222101201121000
412310223000100
5213301032203
615205302000
72556662325
oct664530020
9258351530
10114470928
1159685780
1232404900
131a93c3a0
14112bab4c
15a0b24a3
hex6d2b010

114470928 has 320 divisors, whose sum is σ = 412473600. Its totient is φ = 29859840.

The previous prime is 114470891. The next prime is 114470947. The reversal of 114470928 is 829074411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114470892 and 114470901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1050138 + ... + 1050246.

It is an arithmetic number, because the mean of its divisors is an integer number (1288980).

Almost surely, 2114470928 is an apocalyptic number.

114470928 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 114470928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206236800).

114470928 is an abundant number, since it is smaller than the sum of its proper divisors (298002672).

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

114470928 is a wasteful number, since it uses less digits than its factorization.

114470928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114470928 is about 10699.1087479285. The cubic root of 114470928 is about 485.5475136130.

The spelling of 114470928 in words is "one hundred fourteen million, four hundred seventy thousand, nine hundred twenty-eight".