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10003240 = 2351319237
BaseRepresentation
bin100110001010…
…001100101000
3200211012212101
4212022030220
510030100430
6554223144
7151011652
oct46121450
920735771
1010003240
115712645
123424ab4
1320c31a0
1414856d2
15d28dca
hex98a328

10003240 has 32 divisors (see below), whose sum is σ = 24239880. Its totient is φ = 3693312.

The previous prime is 10003237. The next prime is 10003247. The reversal of 10003240 is 4230001.

It can be written as a sum of positive squares in 4 ways, for example, as 4137156 + 5866084 = 2034^2 + 2422^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10003247) 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, 9099 + ... + 10138.

Almost surely, 210003240 is an apocalyptic number.

10003240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10003240 is an abundant number, since it is smaller than the sum of its proper divisors (14236640).

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

10003240 is a wasteful number, since it uses less digits than its factorization.

10003240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19261 (or 19257 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10003240 is about 3162.7899076606. The cubic root of 10003240 is about 215.4667343854.

Adding to 10003240 its reverse (4230001), we get a palindrome (14233241).

It can be divided in two parts, 1000 and 3240, that multiplied together give a square (3240000 = 18002).

The spelling of 10003240 in words is "ten million, three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 19237 38474 76948 96185 153896 192370 250081 384740 500162 769480 1000324 1250405 2000648 2500810 5001620 10003240