Search a number
-
+
590097690 = 233572134773
BaseRepresentation
bin100011001011000…
…010110100011010
31112010101001212000
4203023002310122
52202031111230
6134315501430
720423514300
oct4313026432
91463331760
10590097690
11283105146
12145757876
139533c640
145852a270
1536c13b60
hex232c2d1a

590097690 has 384 divisors, whose sum is σ = 2040837120. Its totient is φ = 120185856.

The previous prime is 590097661. The next prime is 590097691. The reversal of 590097690 is 96790095.

It is a super-2 number, since 2×5900976902 = 696430567486672200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (590097691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8083494 + ... + 8083566.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2590097690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 590097690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1020418560).

590097690 is an abundant number, since it is smaller than the sum of its proper divisors (1450739430).

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

590097690 is a wasteful number, since it uses less digits than its factorization.

590097690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 590097690 is about 24291.9264365756. The cubic root of 590097690 is about 838.7669408441.

The spelling of 590097690 in words is "five hundred ninety million, ninety-seven thousand, six hundred ninety".