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114997752 = 23333591483
BaseRepresentation
bin1101101101010…
…11100111111000
322000101111021000
412312223213320
5213414412002
615224445000
72564315262
oct666534770
9260344230
10114997752
1159a05571
1232619760
131aa9510c
14113b6b32
15a16861c
hex6dab9f8

114997752 has 64 divisors (see below), whose sum is σ = 320544000. Its totient is φ = 38200032.

The previous prime is 114997733. The next prime is 114997759. The reversal of 114997752 is 257799411.

It is a junction number, because it is equal to n+sod(n) for n = 114997698 and 114997707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114997759) by changing a digit.

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, 76803 + ... + 78285.

It is an arithmetic number, because the mean of its divisors is an integer number (5008500).

Almost surely, 2114997752 is an apocalyptic number.

114997752 is a gapful number since it is divisible by the number (12) 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 114997752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160272000).

114997752 is an abundant number, since it is smaller than the sum of its proper divisors (205546248).

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

114997752 is a wasteful number, since it uses less digits than its factorization.

114997752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1857 (or 1847 counting only the distinct ones).

The product of its digits is 158760, while the sum is 45.

The square root of 114997752 is about 10723.7004807109. The cubic root of 114997752 is about 486.2912444226.

The spelling of 114997752 in words is "one hundred fourteen million, nine hundred ninety-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 359 718 1077 1436 1483 2154 2872 2966 3231 4308 4449 5932 6462 8616 8898 9693 11864 12924 13347 17796 19386 25848 26694 35592 38772 40041 53388 77544 80082 106776 160164 320328 532397 1064794 1597191 2129588 3194382 4259176 4791573 6388764 9583146 12777528 14374719 19166292 28749438 38332584 57498876 114997752