Search a number
-
+
90576860 = 225112914197
BaseRepresentation
bin1010110011000…
…01011111011100
320022102210002112
411121201133130
5141141424420
612553213152
72146614323
oct531413734
9208383075
1090576860
1147145810
12264011b8
13159c469a
14c05b0ba
157e428c5
hex56617dc

90576860 has 48 divisors (see below), whose sum is σ = 214673760. Its totient is φ = 31799040.

The previous prime is 90576839. The next prime is 90576869. The reversal of 90576860 is 6867509.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90576869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 719 + ... + 13478.

It is an arithmetic number, because the mean of its divisors is an integer number (4472370).

Almost surely, 290576860 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 90576860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107336880).

90576860 is an abundant number, since it is smaller than the sum of its proper divisors (124096900).

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

90576860 is a wasteful number, since it uses less digits than its factorization.

90576860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14246 (or 14244 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 41.

The square root of 90576860 is about 9517.1876097931. The cubic root of 90576860 is about 449.0958967000.

The spelling of 90576860 in words is "ninety million, five hundred seventy-six thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 14197 28394 56788 70985 141970 156167 283940 312334 411713 624668 780835 823426 1561670 1646852 2058565 3123340 4117130 4528843 8234260 9057686 18115372 22644215 45288430 90576860