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114201090 = 2345140989
BaseRepresentation
bin1101100111010…
…01001000000010
321221220000110000
412303221020002
5213213413330
615155420430
72554456533
oct663511002
9257800400
10114201090
1159510a73
12322b4716
131a876613
141124a68a
15a05c560
hex6ce9202

114201090 has 40 divisors (see below), whose sum is σ = 307076220. Its totient is φ = 30453408.

The previous prime is 114201079. The next prime is 114201091. The reversal of 114201090 is 90102411.

It can be written as a sum of positive squares in 2 ways, for example, as 112975641 + 1225449 = 10629^2 + 1107^2 .

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 (114201091) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 69685 + ... + 71304.

Almost surely, 2114201090 is an apocalyptic number.

114201090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114201090 is an abundant number, since it is smaller than the sum of its proper divisors (192875130).

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

114201090 is a wasteful number, since it uses less digits than its factorization.

114201090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141008 (or 140999 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 114201090 is about 10686.4910050025. The cubic root of 114201090 is about 485.1656924928.

The spelling of 114201090 in words is "one hundred fourteen million, two hundred one thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 140989 281978 422967 704945 845934 1268901 1409890 2114835 2537802 3806703 4229670 6344505 7613406 11420109 12689010 19033515 22840218 38067030 57100545 114201090