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90520 = 2353173
BaseRepresentation
bin10110000110011000
311121011121
4112012120
510344040
61535024
7524623
oct260630
9147147
1090520
1162011
1244474
1332281
1424dba
151bc4a
hex16198

90520 has 32 divisors (see below), whose sum is σ = 213120. Its totient is φ = 34560.

The previous prime is 90511. The next prime is 90523. The reversal of 90520 is 2509.

It is a junction number, because it is equal to n+sod(n) for n = 90494 and 90503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90523) by changing a digit.

90520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1204 + ... + 1276.

It is an arithmetic number, because the mean of its divisors is an integer number (6660).

290520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106560).

90520 is an abundant number, since it is smaller than the sum of its proper divisors (122600).

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

90520 is a wasteful number, since it uses less digits than its factorization.

90520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 90520 is about 300.8654184183. The cubic root of 90520 is about 44.9001903091.

The spelling of 90520 in words is "ninety thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 73 124 146 155 248 292 310 365 584 620 730 1240 1460 2263 2920 4526 9052 11315 18104 22630 45260 90520