Search a number
-
+
114071202 = 23271078461
BaseRepresentation
bin1101100110010…
…01011010100010
321221122102021100
412303021122202
5213200234302
615152535230
72553406050
oct663113242
9257572240
10114071202
1159432423
1232251516
131a82c46b
14112151d0
15a033d1c
hex6cc96a2

114071202 has 48 divisors (see below), whose sum is σ = 285135552. Its totient is φ = 32283360.

The previous prime is 114071197. The next prime is 114071203. The reversal of 114071202 is 202170411.

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

It is not an unprimeable number, because it can be changed into a prime (114071203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9252 + ... + 17712.

It is an arithmetic number, because the mean of its divisors is an integer number (5940324).

Almost surely, 2114071202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114071202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142567776).

114071202 is an abundant number, since it is smaller than the sum of its proper divisors (171064350).

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

114071202 is a wasteful number, since it uses less digits than its factorization.

114071202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8580 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 114071202 is about 10680.4120707021. The cubic root of 114071202 is about 484.9816863457.

The spelling of 114071202 in words is "one hundred fourteen million, seventy-one thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 107 126 214 321 642 749 963 1498 1926 2247 4494 6741 8461 13482 16922 25383 50766 59227 76149 118454 152298 177681 355362 533043 905327 1066086 1810654 2715981 5431962 6337289 8147943 12674578 16295886 19011867 38023734 57035601 114071202