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90596 = 22112971
BaseRepresentation
bin10110000111100100
311121021102
4112013210
510344341
61535232
7525062
oct260744
9147242
1090596
1162080
1244518
133230c
1425032
151bc9b
hex161e4

90596 has 24 divisors (see below), whose sum is σ = 181440. Its totient is φ = 39200.

The previous prime is 90583. The next prime is 90599. The reversal of 90596 is 69509.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90599) by changing a digit.

90596 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1241 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (7560).

290596 is an apocalyptic number.

It is an amenable number.

90596 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (90720).

90596 is a wasteful number, since it uses less digits than its factorization.

90596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 29.

The square root of 90596 is about 300.9916942376. The cubic root of 90596 is about 44.9127527627.

It can be divided in two parts, 905 and 96, that added together give a palindrome (1001).

The spelling of 90596 in words is "ninety thousand, five hundred ninety-six".

Divisors: 1 2 4 11 22 29 44 58 71 116 142 284 319 638 781 1276 1562 2059 3124 4118 8236 22649 45298 90596