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114292794 = 23721159599
BaseRepresentation
bin1101100111111…
…11100000111010
321222001200020110
412303333200322
5213224332134
615201405150
72555321100
oct663774072
9258050213
10114292794
1159573960
12323397b6
131a8a9295
1411271c70
15a0797e9
hex6cff83a

114292794 has 96 divisors (see below), whose sum is σ = 295488000. Its totient is φ = 29134560.

The previous prime is 114292781. The next prime is 114292807. The reversal of 114292794 is 497292411.

It is an interprime number because it is at equal distance from previous prime (114292781) and next prime (114292807).

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 47 ways as a sum of consecutive naturals, for example, 190507 + ... + 191105.

It is an arithmetic number, because the mean of its divisors is an integer number (3078000).

Almost surely, 2114292794 is an apocalyptic number.

114292794 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114292794, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147744000).

114292794 is an abundant number, since it is smaller than the sum of its proper divisors (181195206).

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

114292794 is a wasteful number, since it uses less digits than its factorization.

114292794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 114292794 is about 10690.7807946847. The cubic root of 114292794 is about 485.2955211748.

The spelling of 114292794 in words is "one hundred fourteen million, two hundred ninety-two thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 59 66 77 98 118 147 154 177 231 294 354 413 462 539 599 649 826 1078 1198 1239 1298 1617 1797 1947 2478 2891 3234 3594 3894 4193 4543 5782 6589 8386 8673 9086 12579 13178 13629 17346 19767 25158 27258 29351 31801 35341 39534 46123 58702 63602 70682 88053 92246 95403 106023 138369 176106 190806 212046 247387 276738 322861 388751 494774 645722 742161 777502 968583 1166253 1484322 1731709 1937166 2332506 2721257 3463418 5195127 5442514 8163771 10390254 16327542 19048799 38097598 57146397 114292794