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114000420 = 22352382609
BaseRepresentation
bin1101100101110…
…00001000100100
321221111211011210
412302320020210
5213141003140
615151231420
72552662512
oct662701044
9257454153
10114000420
1159394226
1232218570
131a806191
14111d74b2
15a01cd80
hex6cb8224

114000420 has 48 divisors (see below), whose sum is σ = 333083520. Its totient is φ = 29078016.

The previous prime is 114000413. The next prime is 114000431. The reversal of 114000420 is 24000411.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 114000396 and 114000405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39925 + ... + 42684.

It is an arithmetic number, because the mean of its divisors is an integer number (6939240).

Almost surely, 2114000420 is an apocalyptic number.

114000420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114000420 is an abundant number, since it is smaller than the sum of its proper divisors (219083100).

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

114000420 is a wasteful number, since it uses less digits than its factorization.

114000420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82644 (or 82642 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 114000420 is about 10677.0979203152. The cubic root of 114000420 is about 484.8813540509.

Adding to 114000420 its reverse (24000411), we get a palindrome (138000831).

Subtracting from 114000420 its reverse (24000411), we obtain a palindrome (90000009).

The spelling of 114000420 in words is "one hundred fourteen million, four hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 82609 165218 247827 330436 413045 495654 826090 991308 1239135 1652180 1900007 2478270 3800014 4956540 5700021 7600028 9500035 11400042 19000070 22800084 28500105 38000140 57000210 114000420