Search a number
-
+
114093020 = 22531593119
BaseRepresentation
bin1101100110011…
…10101111011100
321221200112012102
412303032233130
5213201434040
615153224232
72553526466
oct663165734
9257615172
10114093020
1159447858
1232262078
131a839382
141121d136
15a03a515
hex6ccebdc

114093020 has 48 divisors (see below), whose sum is σ = 251596800. Its totient is φ = 43402560.

The previous prime is 114093013. The next prime is 114093053. The reversal of 114093020 is 20390411.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 114092983 and 114093001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35021 + ... + 38139.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2114093020 is an apocalyptic number.

114093020 is a gapful number since it is divisible by the number (10) 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 114093020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125798400).

114093020 is an abundant number, since it is smaller than the sum of its proper divisors (137503780).

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

114093020 is a wasteful number, since it uses less digits than its factorization.

114093020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3218 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 114093020 is about 10681.4334244052. The cubic root of 114093020 is about 485.0126046251.

The spelling of 114093020 in words is "one hundred fourteen million, ninety-three thousand, twenty".

Divisors: 1 2 4 5 10 20 31 59 62 118 124 155 236 295 310 590 620 1180 1829 3119 3658 6238 7316 9145 12476 15595 18290 31190 36580 62380 96689 184021 193378 368042 386756 483445 736084 920105 966890 1840210 1933780 3680420 5704651 11409302 22818604 28523255 57046510 114093020