Search a number
-
+
90114 = 2323653
BaseRepresentation
bin10110000000000010
311120121120
4112000002
510340424
61533110
7523503
oct260002
9146546
1090114
1161782
1244196
133202b
1424baa
151ba79
hex16002

90114 has 16 divisors (see below), whose sum is σ = 188352. Its totient is φ = 28688.

The previous prime is 90107. The next prime is 90121. The reversal of 90114 is 41109.

It is an interprime number because it is at equal distance from previous prime (90107) and next prime (90121).

It is a junction number, because it is equal to n+sod(n) for n = 90093 and 90102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189 + ... + 464.

It is an arithmetic number, because the mean of its divisors is an integer number (11772).

290114 is an apocalyptic number.

90114 is an abundant number, since it is smaller than the sum of its proper divisors (98238).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94176).

90114 is a wasteful number, since it uses less digits than its factorization.

90114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681.

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 90114 is about 300.1899398714. The cubic root of 90114 is about 44.8329609688.

The spelling of 90114 in words is "ninety thousand, one hundred fourteen".

Divisors: 1 2 3 6 23 46 69 138 653 1306 1959 3918 15019 30038 45057 90114