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114914394 = 232719232087
BaseRepresentation
bin1101101100101…
…11010001011010
322000020020220200
412312113101122
5213404230034
615223003030
72563520250
oct666272132
9260206820
10114914394
1159958981
1232599476
131aa661aa
14113945d0
15a14da99
hex6d9745a

114914394 has 96 divisors (see below), whose sum is σ = 312698880. Its totient is φ = 29738016.

The previous prime is 114914383. The next prime is 114914411. The reversal of 114914394 is 493419411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54019 + ... + 56105.

It is an arithmetic number, because the mean of its divisors is an integer number (3257280).

Almost surely, 2114914394 is an apocalyptic number.

114914394 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 114914394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156349440).

114914394 is an abundant number, since it is smaller than the sum of its proper divisors (197784486).

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

114914394 is a wasteful number, since it uses less digits than its factorization.

114914394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2144 (or 2141 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 114914394 is about 10719.8131513567. The cubic root of 114914394 is about 486.1737173021.

The spelling of 114914394 in words is "one hundred fourteen million, nine hundred fourteen thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 38 42 46 57 63 69 114 126 133 138 161 171 207 266 322 342 399 414 437 483 798 874 966 1197 1311 1449 2087 2394 2622 2898 3059 3933 4174 6118 6261 7866 9177 12522 14609 18354 18783 27531 29218 37566 39653 43827 48001 55062 79306 87654 96002 118959 131481 144003 237918 262962 277571 288006 336007 356877 432009 555142 672014 713754 832713 864018 912019 1008021 1665426 1824038 2016042 2498139 2736057 3024063 4996278 5472114 6048126 6384133 8208171 12768266 16416342 19152399 38304798 57457197 114914394