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114425820 = 223254631373
BaseRepresentation
bin1101101000111…
…11111111011100
321222022102201100
412310133333130
5213243111240
615204313100
72556413655
oct664377734
9258272640
10114425820
11596548a3
12323a2790
131a9249b2
14112a852c
15a0a3e30
hex6d1ffdc

114425820 has 72 divisors (see below), whose sum is σ = 348094656. Its totient is φ = 30425472.

The previous prime is 114425807. The next prime is 114425869. The reversal of 114425820 is 28524411.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82654 + ... + 84026.

It is an arithmetic number, because the mean of its divisors is an integer number (4834648).

Almost surely, 2114425820 is an apocalyptic number.

114425820 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 114425820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174047328).

114425820 is an abundant number, since it is smaller than the sum of its proper divisors (233668836).

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

114425820 is a wasteful number, since it uses less digits than its factorization.

114425820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 114425820 is about 10697.0005141628. Note that the first 3 decimals coincide. The cubic root of 114425820 is about 485.4837275346.

The spelling of 114425820 in words is "one hundred fourteen million, four hundred twenty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 463 926 1373 1389 1852 2315 2746 2778 4119 4167 4630 5492 5556 6865 6945 8238 8334 9260 12357 13730 13890 16476 16668 20595 20835 24714 27460 27780 41190 41670 49428 61785 82380 83340 123570 247140 635699 1271398 1907097 2542796 3178495 3814194 5721291 6356990 7628388 9535485 11442582 12713980 19070970 22885164 28606455 38141940 57212910 114425820