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114202020 = 22356013167
BaseRepresentation
bin1101100111010…
…01010110100100
321221220001201110
412303221112210
5213213431040
615155425020
72554462332
oct663512644
9257801643
10114202020
1159511739
12322b5170
131a876b7a
141124ab52
15a05c980
hex6ce95a4

114202020 has 48 divisors (see below), whose sum is σ = 320398848. Its totient is φ = 30393600.

The previous prime is 114202019. The next prime is 114202037. The reversal of 114202020 is 20202411.

114202020 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

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

114202020 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 114201987 and 114202005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34477 + ... + 37643.

It is an arithmetic number, because the mean of its divisors is an integer number (6674976).

Almost surely, 2114202020 is an apocalyptic number.

114202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114202020 is an abundant number, since it is smaller than the sum of its proper divisors (206196828).

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

114202020 is a wasteful number, since it uses less digits than its factorization.

114202020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3780 (or 3778 counting only the distinct ones).

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

The square root of 114202020 is about 10686.5345177939. The cubic root of 114202020 is about 485.1670094764.

Adding to 114202020 its reverse (20202411), we get a palindrome (134404431).

The spelling of 114202020 in words is "one hundred fourteen million, two hundred two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 601 1202 1803 2404 3005 3167 3606 6010 6334 7212 9015 9501 12020 12668 15835 18030 19002 31670 36060 38004 47505 63340 95010 190020 1903367 3806734 5710101 7613468 9516835 11420202 19033670 22840404 28550505 38067340 57101010 114202020