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114729696 = 253444263
BaseRepresentation
bin1101101011010…
…10001011100000
321222212212120000
412311222023200
5213332322241
615215020000
72562120624
oct665521340
9258785500
10114729696
1159842134
123250a600
131aa000c3
1411347184
15a113eb6
hex6d6a2e0

114729696 has 60 divisors (see below), whose sum is σ = 337424472. Its totient is φ = 38242368.

The previous prime is 114729673. The next prime is 114729697. The reversal of 114729696 is 696927411.

114729696 is a `hidden beast` number, since 1 + 1 + 472 + 96 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114729697) 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 9 ways as a sum of consecutive naturals, for example, 19540 + ... + 24723.

Almost surely, 2114729696 is an apocalyptic number.

114729696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114729696 is an abundant number, since it is smaller than the sum of its proper divisors (222694776).

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

114729696 is an equidigital number, since it uses as much as digits as its factorization.

114729696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44285 (or 44268 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 114729696 is about 10711.1948913275. The cubic root of 114729696 is about 485.9131074648.

The spelling of 114729696 in words is "one hundred fourteen million, seven hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 44263 88526 132789 177052 265578 354104 398367 531156 708208 796734 1062312 1195101 1416416 1593468 2124624 2390202 3186936 3585303 4249248 4780404 6373872 7170606 9560808 12747744 14341212 19121616 28682424 38243232 57364848 114729696