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114355728 = 2432794137
BaseRepresentation
bin1101101000011…
…10111000010000
321222011212120100
412310032320100
5213233340403
615203012400
72556002424
oct664167020
9258155510
10114355728
1159607173
123236a100
131a8cbb16
141128ab84
15a08d2a3
hex6d0ee10

114355728 has 30 divisors (see below), whose sum is σ = 320037614. Its totient is φ = 38118528.

The previous prime is 114355721. The next prime is 114355771. The reversal of 114355728 is 827553411.

It can be written as a sum of positive squares in only one way, i.e., 114318864 + 36864 = 10692^2 + 192^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 114355692 and 114355701.

It is not an unprimeable number, because it can be changed into a prime (114355721) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 396925 + ... + 397212.

Almost surely, 2114355728 is an apocalyptic number.

114355728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

114355728 is an abundant number, since it is smaller than the sum of its proper divisors (205681886).

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

114355728 is a wasteful number, since it uses less digits than its factorization.

114355728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794151 (or 794142 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 114355728 is about 10693.7237667709. The cubic root of 114355728 is about 485.3845789453.

The spelling of 114355728 in words is "one hundred fourteen million, three hundred fifty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 794137 1588274 2382411 3176548 4764822 6353096 7147233 9529644 12706192 14294466 19059288 28588932 38118576 57177864 114355728