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114131024 = 2471953633
BaseRepresentation
bin1101100110110…
…00000001010000
321221202110022222
412303120001100
5213204143044
615154120212
72554045340
oct663300120
9257673288
10114131024
1159473367
1232280068
131a850767
141122cd20
15a0468ee
hex6cd8050

114131024 has 40 divisors (see below), whose sum is σ = 266024640. Its totient is φ = 46338048.

The previous prime is 114131023. The next prime is 114131029. The reversal of 114131024 is 420131411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114130993 and 114131011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114131023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24689 + ... + 28944.

It is an arithmetic number, because the mean of its divisors is an integer number (6650616).

Almost surely, 2114131024 is an apocalyptic number.

114131024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114131024 is an abundant number, since it is smaller than the sum of its proper divisors (151893616).

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

114131024 is a wasteful number, since it uses less digits than its factorization.

114131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53667 (or 53661 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 114131024 is about 10683.2122510039. The cubic root of 114131024 is about 485.0664506676.

Adding to 114131024 its reverse (420131411), we get a palindrome (534262435).

The spelling of 114131024 in words is "one hundred fourteen million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 53633 107266 214532 375431 429064 750862 858128 1019027 1501724 2038054 3003448 4076108 6006896 7133189 8152216 14266378 16304432 28532756 57065512 114131024