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114740820 = 223351729431
BaseRepresentation
bin1101101011011…
…00111001010100
321222220102211000
412311230321110
5213333201240
615215143300
72562165225
oct665547124
9258812730
10114740820
115984a527
1232514b30
131aa0519c
141134b24c
15a117430
hex6d6ce54

114740820 has 192 divisors, whose sum is σ = 391910400. Its totient is φ = 27740160.

The previous prime is 114740779. The next prime is 114740831. The reversal of 114740820 is 28047411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266005 + ... + 266435.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 2114740820 is an apocalyptic number.

114740820 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 114740820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

114740820 is an abundant number, since it is smaller than the sum of its proper divisors (277169580).

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

114740820 is a wasteful number, since it uses less digits than its factorization.

114740820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 114740820 is about 10711.7141485385. The cubic root of 114740820 is about 485.9288113988.

The spelling of 114740820 in words is "one hundred fourteen million, seven hundred forty thousand, eight hundred twenty".