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114361710 = 23541109853
BaseRepresentation
bin1101101000100…
…00010101101110
321222012011202220
412310100111232
5213234033320
615203100210
72556026031
oct664202556
9258164686
10114361710
1159610711
1232371666
131a901768
141128d018
15a08ee40
hex6d1056e

114361710 has 64 divisors (see below), whose sum is σ = 284074560. Its totient is φ = 29445120.

The previous prime is 114361673. The next prime is 114361711. The reversal of 114361710 is 17163411.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114361711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133644 + ... + 134496.

It is an arithmetic number, because the mean of its divisors is an integer number (4438665).

Almost surely, 2114361710 is an apocalyptic number.

114361710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114361710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142037280).

114361710 is an abundant number, since it is smaller than the sum of its proper divisors (169712850).

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

114361710 is a wasteful number, since it uses less digits than its factorization.

114361710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 114361710 is about 10694.0034598835. The cubic root of 114361710 is about 485.3930423602.

The spelling of 114361710 in words is "one hundred fourteen million, three hundred sixty-one thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 109 123 205 218 246 327 410 545 615 654 853 1090 1230 1635 1706 2559 3270 4265 4469 5118 8530 8938 12795 13407 22345 25590 26814 34973 44690 67035 69946 92977 104919 134070 174865 185954 209838 278931 349730 464885 524595 557862 929770 1049190 1394655 2789310 3812057 7624114 11436171 19060285 22872342 38120570 57180855 114361710