Search a number
-
+
10628240 = 245718979
BaseRepresentation
bin101000100010…
…110010010000
3201222222012112
4220202302100
510210100430
61015444452
7156224060
oct50426220
921888175
1010628240
115aaa177
123686728
1322817cc
1415a93a0
15dee195
hexa22c90

10628240 has 40 divisors (see below), whose sum is σ = 28242240. Its totient is φ = 3643776.

The previous prime is 10628227. The next prime is 10628243. The reversal of 10628240 is 4282601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×106282402 = 225918970995200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10628243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8930 + ... + 10049.

It is an arithmetic number, because the mean of its divisors is an integer number (706056).

Almost surely, 210628240 is an apocalyptic number.

10628240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10628240 is an abundant number, since it is smaller than the sum of its proper divisors (17614000).

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

10628240 is a wasteful number, since it uses less digits than its factorization.

10628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18999 (or 18993 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 10628240 is about 3260.0981580314. The cubic root of 10628240 is about 219.8638275771.

The spelling of 10628240 in words is "ten million, six hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 18979 37958 75916 94895 132853 151832 189790 265706 303664 379580 531412 664265 759160 1062824 1328530 1518320 2125648 2657060 5314120 10628240