[go: up one dir, main page]

Search a number
-
+
10030680 = 233251117149
BaseRepresentation
bin100110010000…
…111001011000
3200212121111200
4212100321120
510031440210
6554554200
7151154652
oct46207130
920777450
1010030680
115731220
123438960
13210281a
1414916d2
15d320c0
hex990e58

10030680 has 192 divisors, whose sum is σ = 37908000. Its totient is φ = 2273280.

The previous prime is 10030679. The next prime is 10030687. The reversal of 10030680 is 8603001.

10030680 = T255 + T256 + ... + T424.

It is a super-2 number, since 2×100306802 = 201229082524800, 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 (10030687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67246 + ... + 67394.

Almost surely, 210030680 is an apocalyptic number.

10030680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18954000).

10030680 is an abundant number, since it is smaller than the sum of its proper divisors (27877320).

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

10030680 is a wasteful number, since it uses less digits than its factorization.

10030680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10030680 is about 3167.1248791293. The cubic root of 10030680 is about 215.6635709198.

Adding to 10030680 its reverse (8603001), we get a palindrome (18633681).

The spelling of 10030680 in words is "ten million, thirty thousand, six hundred eighty".