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114741000 = 233253111961
BaseRepresentation
bin1101101011011…
…00111100001000
321222220110001200
412311230330020
5213333203000
615215144200
72562165603
oct665547410
9258813050
10114741000
115984a680
1232515060
131aa052aa
141134b33a
15a117500
hex6d6cf08

114741000 has 384 divisors, whose sum is σ = 452649600. Its totient is φ = 25920000.

The previous prime is 114740999. The next prime is 114741031. The reversal of 114741000 is 147411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1880970 + ... + 1881030.

It is an arithmetic number, because the mean of its divisors is an integer number (1178775).

Almost surely, 2114741000 is an apocalyptic number.

114741000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114741000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226324800).

114741000 is an abundant number, since it is smaller than the sum of its proper divisors (337908600).

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

114741000 is a wasteful number, since it uses less digits than its factorization.

114741000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 114741000 is about 10711.7225505518. The cubic root of 114741000 is about 485.9290654995.

Adding to 114741000 its reverse (147411), we get a palindrome (114888411).

The spelling of 114741000 in words is "one hundred fourteen million, seven hundred forty-one thousand".