Search a number
-
+
10269640 = 235733517
BaseRepresentation
bin100111001011…
…001111001000
3201022202022001
4213023033020
510112112030
61004040344
7153201433
oct47131710
921282261
1010269640
115884807
1235330b4
132187514
14151481a
15d7ccca
hex9cb3c8

10269640 has 32 divisors (see below), whose sum is σ = 23429880. Its totient is φ = 4050432.

The previous prime is 10269631. The next prime is 10269667. The reversal of 10269640 is 4696201.

10269640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10074276 + 195364 = 3174^2 + 442^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10269599 and 10269608.

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, 1162 + ... + 4678.

Almost surely, 210269640 is an apocalyptic number.

10269640 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 10269640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11714940).

10269640 is an abundant number, since it is smaller than the sum of its proper divisors (13160240).

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

10269640 is a wasteful number, since it uses less digits than its factorization.

10269640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3601 (or 3597 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 10269640 is about 3204.6279035170. The cubic root of 10269640 is about 217.3627266086.

The spelling of 10269640 in words is "ten million, two hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 3517 7034 14068 17585 28136 35170 70340 140680 256741 513482 1026964 1283705 2053928 2567410 5134820 10269640