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10002240 = 2632523151
BaseRepresentation
bin100110001001…
…111101000000
3200211011111100
4212021331000
510030032430
6554214400
7151006023
oct46117500
920734440
1010002240
115711916
123424400
1320c28b1
1414851ba
15d28960
hex989f40

10002240 has 168 divisors, whose sum is σ = 36137088. Its totient is φ = 2534400.

The previous prime is 10002203. The next prime is 10002257. The reversal of 10002240 is 4220001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66165 + ... + 66315.

Almost surely, 210002240 is an apocalyptic number.

10002240 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 10002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068544).

10002240 is an abundant number, since it is smaller than the sum of its proper divisors (26134848).

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

10002240 is a wasteful number, since it uses less digits than its factorization.

10002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10002240 is about 3162.6318154347. The cubic root of 10002240 is about 215.4595542479.

Adding to 10002240 its reverse (4220001), we get a palindrome (14222241).

It can be divided in two parts, 1000 and 2240, that added together give a triangular number (3240 = T80).

The spelling of 10002240 in words is "ten million, two thousand, two hundred forty".