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114123420 = 223252572467
BaseRepresentation
bin1101100110101…
…10001010011100
321221202001220100
412303112022130
5213203422140
615154021100
72554014225
oct663261234
9257661810
10114123420
1159468684
1232277790
131a84a168
141122a24c
15a044530
hex6cd629c

114123420 has 72 divisors (see below), whose sum is σ = 347662224. Its totient is φ = 30302208.

The previous prime is 114123413. The next prime is 114123463. The reversal of 114123420 is 24321411.

It is a super-3 number, since 3×1141234203 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114123393 and 114123402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45027 + ... + 47493.

It is an arithmetic number, because the mean of its divisors is an integer number (4828642).

Almost surely, 2114123420 is an apocalyptic number.

114123420 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 114123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173831112).

114123420 is an abundant number, since it is smaller than the sum of its proper divisors (233538804).

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

114123420 is a wasteful number, since it uses less digits than its factorization.

114123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 114123420 is about 10682.8563596072. The cubic root of 114123420 is about 485.0556778819.

Adding to 114123420 its reverse (24321411), we get a palindrome (138444831).

The spelling of 114123420 in words is "one hundred fourteen million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 257 514 771 1028 1285 1542 2313 2467 2570 3084 3855 4626 4934 5140 7401 7710 9252 9868 11565 12335 14802 15420 22203 23130 24670 29604 37005 44406 46260 49340 74010 88812 111015 148020 222030 444060 634019 1268038 1902057 2536076 3170095 3804114 5706171 6340190 7608228 9510285 11412342 12680380 19020570 22824684 28530855 38041140 57061710 114123420