Search a number
-
+
10072840 = 2351714813
BaseRepresentation
bin100110011011…
…001100001000
3200221202100011
4212123030020
510034312330
6555521304
7151421611
oct46331410
920852304
1010072840
11575a968
123459234
132118a7b
1414a2c08
15d3e82a
hex99b308

10072840 has 32 divisors (see below), whose sum is σ = 23998680. Its totient is φ = 3791872.

The previous prime is 10072837. The next prime is 10072871. The reversal of 10072840 is 4827001.

It can be written as a sum of positive squares in 4 ways, for example, as 8398404 + 1674436 = 2898^2 + 1294^2 .

It is a congruent number.

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, 6727 + ... + 8086.

Almost surely, 210072840 is an apocalyptic number.

10072840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072840 is an abundant number, since it is smaller than the sum of its proper divisors (13925840).

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

10072840 is a wasteful number, since it uses less digits than its factorization.

10072840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14841 (or 14837 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 10072840 is about 3173.7737789578. The cubic root of 10072840 is about 215.9653007818.

Adding to 10072840 its reverse (4827001), we get a palindrome (14899841).

The spelling of 10072840 in words is "ten million, seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 14813 29626 59252 74065 118504 148130 251821 296260 503642 592520 1007284 1259105 2014568 2518210 5036420 10072840