Search a number
-
+
10030590 = 2325591889
BaseRepresentation
bin100110010000…
…110111111110
3200212121101100
4212100313332
510031434330
6554553530
7151154463
oct46206776
920777340
1010030590
115731149
1234388a6
13210277b
14149166a
15d32060
hex990dfe

10030590 has 48 divisors (see below), whose sum is σ = 26535600. Its totient is φ = 2628096.

The previous prime is 10030583. The next prime is 10030597. The reversal of 10030590 is 9503001.

It is an interprime number because it is at equal distance from previous prime (10030583) and next prime (10030597).

It is a super-2 number, since 2×100305902 = 201225471496200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10030597) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4366 + ... + 6254.

It is an arithmetic number, because the mean of its divisors is an integer number (552825).

Almost surely, 210030590 is an apocalyptic number.

10030590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267800).

10030590 is an abundant number, since it is smaller than the sum of its proper divisors (16505010).

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

10030590 is a wasteful number, since it uses less digits than its factorization.

10030590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1961 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10030590 is about 3167.1106706271. The cubic root of 10030590 is about 215.6629259061.

Adding to 10030590 its reverse (9503001), we get a palindrome (19533591).

The spelling of 10030590 in words is "ten million, thirty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 177 295 354 531 590 885 1062 1770 1889 2655 3778 5310 5667 9445 11334 17001 18890 28335 34002 56670 85005 111451 170010 222902 334353 557255 668706 1003059 1114510 1671765 2006118 3343530 5015295 10030590