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114073752 = 233131312791
BaseRepresentation
bin1101100110010…
…10000010011000
321221122112202210
412303022002120
5213200330002
615152555120
72553416352
oct663120230
9257575683
10114073752
1159434331
1232252aa0
131a830680
14112160d2
15a03496c
hex6cca098

114073752 has 64 divisors (see below), whose sum is σ = 309576960. Its totient is φ = 34819200.

The previous prime is 114073699. The next prime is 114073753. The reversal of 114073752 is 257370411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114073753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39477 + ... + 42267.

It is an arithmetic number, because the mean of its divisors is an integer number (4837140).

Almost surely, 2114073752 is an apocalyptic number.

114073752 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 114073752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154788480).

114073752 is an abundant number, since it is smaller than the sum of its proper divisors (195503208).

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

114073752 is a wasteful number, since it uses less digits than its factorization.

114073752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 114073752 is about 10680.5314474515. The cubic root of 114073752 is about 484.9853001532.

The spelling of 114073752 in words is "one hundred fourteen million, seventy-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 131 156 262 312 393 524 786 1048 1572 1703 2791 3144 3406 5109 5582 6812 8373 10218 11164 13624 16746 20436 22328 33492 36283 40872 66984 72566 108849 145132 217698 290264 365621 435396 731242 870792 1096863 1462484 2193726 2924968 4387452 4753073 8774904 9506146 14259219 19012292 28518438 38024584 57036876 114073752