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114711240 = 233571729277
BaseRepresentation
bin1101101011001…
…01101011001000
321222211221020110
412311211223020
5213331224430
615214354320
72562013050
oct665455310
9258757213
10114711240
115982a286
12324bb9a0
131a9c4897
1411340560
15a10d7b0
hex6d65ac8

114711240 has 256 divisors, whose sum is σ = 432345600. Its totient is φ = 23740416.

The previous prime is 114711209. The next prime is 114711241. The reversal of 114711240 is 42117411.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (114711241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 413982 + ... + 414258.

It is an arithmetic number, because the mean of its divisors is an integer number (1688850).

Almost surely, 2114711240 is an apocalyptic number.

114711240 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 114711240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216172800).

114711240 is an abundant number, since it is smaller than the sum of its proper divisors (317634360).

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

114711240 is a wasteful number, since it uses less digits than its factorization.

114711240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 114711240 is about 10710.3333281462. Note that the first 4 decimals coincide. The cubic root of 114711240 is about 485.8870505864.

Adding to 114711240 its reverse (42117411), we get a palindrome (156828651).

The spelling of 114711240 in words is "one hundred fourteen million, seven hundred eleven thousand, two hundred forty".