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114204020 = 22572812903
BaseRepresentation
bin1101100111010…
…01110101110100
321221220011110112
412303221311310
5213214012040
615155442152
72554501220
oct663516564
9257804415
10114204020
1159513197
12322b6358
131a877a58
141124b780
15a05d365
hex6ce9d74

114204020 has 48 divisors (see below), whose sum is σ = 275159808. Its totient is φ = 39002880.

The previous prime is 114204019. The next prime is 114204023. The reversal of 114204020 is 20402411.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 114203986 and 114204004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114204023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37889 + ... + 40791.

It is an arithmetic number, because the mean of its divisors is an integer number (5732496).

Almost surely, 2114204020 is an apocalyptic number.

114204020 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 114204020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137579904).

114204020 is an abundant number, since it is smaller than the sum of its proper divisors (160955788).

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

114204020 is a wasteful number, since it uses less digits than its factorization.

114204020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3200 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 114204020 is about 10686.6280930890. The cubic root of 114204020 is about 485.1698416748.

Adding to 114204020 its reverse (20402411), we get a palindrome (134606431).

The spelling of 114204020 in words is "one hundred fourteen million, two hundred four thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 281 562 1124 1405 1967 2810 2903 3934 5620 5806 7868 9835 11612 14515 19670 20321 29030 39340 40642 58060 81284 101605 203210 406420 815743 1631486 3262972 4078715 5710201 8157430 11420402 16314860 22840804 28551005 57102010 114204020