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114050090 = 25711732029
BaseRepresentation
bin1101100110001…
…00010000101010
321221121100022102
412303010100222
5213144100330
615152253402
72553260360
oct663042052
9257540272
10114050090
1159418580
1232241262
131a82297b
141120b630
15a02c945
hex6cc442a

114050090 has 64 divisors (see below), whose sum is σ = 259580160. Its totient is φ = 35043840.

The previous prime is 114050081. The next prime is 114050099. The reversal of 114050090 is 90050411.

It is an interprime number because it is at equal distance from previous prime (114050081) and next prime (114050099).

It is not an unprimeable number, because it can be changed into a prime (114050099) 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 31 ways as a sum of consecutive naturals, for example, 55196 + ... + 57224.

It is an arithmetic number, because the mean of its divisors is an integer number (4055940).

Almost surely, 2114050090 is an apocalyptic number.

114050090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114050090 is an abundant number, since it is smaller than the sum of its proper divisors (145530070).

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

114050090 is a wasteful number, since it uses less digits than its factorization.

114050090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2127.

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 114050090 is about 10679.4236735884. The cubic root of 114050090 is about 484.9517647853.

The spelling of 114050090 in words is "one hundred fourteen million, fifty thousand, ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 73 77 110 146 154 365 385 511 730 770 803 1022 1606 2029 2555 4015 4058 5110 5621 8030 10145 11242 14203 20290 22319 28105 28406 44638 56210 71015 111595 142030 148117 156233 223190 296234 312466 740585 781165 1036819 1481170 1562330 1629287 2073638 3258574 5184095 8146435 10368190 11405009 16292870 22810018 57025045 114050090