Search a number
-
+
90613520 = 2459711677
BaseRepresentation
bin1010110011010…
…10011100010000
320022111122101022
411121222130100
5141144113040
612554055012
72150126234
oct531523420
9208448338
1090613520
1147170308
122641a468
1315a0828a
14c06a5c4
157e4d6b5
hex566a710

90613520 has 40 divisors (see below), whose sum is σ = 212866584. Its totient is φ = 35868672.

The previous prime is 90613511. The next prime is 90613531. The reversal of 90613520 is 2531609.

It can be written as a sum of positive squares in 4 ways, for example, as 20322064 + 70291456 = 4508^2 + 8384^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 90613520.

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, 1922 + ... + 13598.

Almost surely, 290613520 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 90613520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106433292).

90613520 is an abundant number, since it is smaller than the sum of its proper divisors (122253064).

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

90613520 is a wasteful number, since it uses less digits than its factorization.

90613520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11787 (or 11781 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 26.

The square root of 90613520 is about 9519.1134040939. The cubic root of 90613520 is about 449.1564774226.

The spelling of 90613520 in words is "ninety million, six hundred thirteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1940 3880 7760 11677 23354 46708 58385 93416 116770 186832 233540 467080 934160 1132669 2265338 4530676 5663345 9061352 11326690 18122704 22653380 45306760 90613520