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114901248 = 2837112967
BaseRepresentation
bin1101101100101…
…00000100000000
322000012120212210
412312110010000
5213403314443
615222422120
72563434030
oct666240400
9260176783
10114901248
115994a010
1232591940
131aa60207
141138d8c0
15a149c33
hex6d94100

114901248 has 288 divisors, whose sum is σ = 400296960. Its totient is φ = 28385280.

The previous prime is 114901223. The next prime is 114901301. The reversal of 114901248 is 842109411.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1714911 + ... + 1714977.

It is an arithmetic number, because the mean of its divisors is an integer number (1389920).

Almost surely, 2114901248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114901248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200148480).

114901248 is an abundant number, since it is smaller than the sum of its proper divisors (285395712).

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

114901248 is a wasteful number, since it uses less digits than its factorization.

114901248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 114901248 is about 10719.1999701470. The cubic root of 114901248 is about 486.1551774622.

The spelling of 114901248 in words is "one hundred fourteen million, nine hundred one thousand, two hundred forty-eight".