Search a number
-
+
10190824 = 237225997
BaseRepresentation
bin100110110111…
…111111101000
3201011202011221
4212313333220
510102101244
61002231424
7152422600
oct46677750
921152157
1010190824
115830576
1234b5574
13215a697
1414d3c00
15d64784
hex9b7fe8

10190824 has 24 divisors (see below), whose sum is σ = 22228290. Its totient is φ = 4367328.

The previous prime is 10190819. The next prime is 10190827. The reversal of 10190824 is 42809101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9922500 + 268324 = 3150^2 + 518^2 .

It is not an unprimeable number, because it can be changed into a prime (10190827) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12607 + ... + 13390.

Almost surely, 210190824 is an apocalyptic number.

10190824 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10190824 is an abundant number, since it is smaller than the sum of its proper divisors (12037466).

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

10190824 is a wasteful number, since it uses less digits than its factorization.

10190824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26017 (or 26006 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10190824 is about 3192.3070027803. The cubic root of 10190824 is about 216.8052362764.

Adding to 10190824 its reverse (42809101), we get a palindrome (52999925).

The spelling of 10190824 in words is "ten million, one hundred ninety thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 25997 51994 103988 181979 207976 363958 727916 1273853 1455832 2547706 5095412 10190824