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10002256 = 2411173343
BaseRepresentation
bin100110001001…
…111101010000
3200211011111221
4212021331100
510030033011
6554214424
7151006045
oct46117520
920734457
1010002256
115711930
123424414
1320c28c4
1414851cc
15d28971
hex989f50

10002256 has 40 divisors (see below), whose sum is σ = 22391424. Its totient is φ = 4277760.

The previous prime is 10002203. The next prime is 10002257. The reversal of 10002256 is 65220001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1321 + ... + 4663.

Almost surely, 210002256 is an apocalyptic number.

10002256 is a gapful number since it is divisible by the number (16) 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 10002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195712).

10002256 is an abundant number, since it is smaller than the sum of its proper divisors (12389168).

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

10002256 is a wasteful number, since it uses less digits than its factorization.

10002256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3379 (or 3373 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10002256 is about 3162.6343449726. The cubic root of 10002256 is about 215.4596691339.

Adding to 10002256 its reverse (65220001), we get a palindrome (75222257).

The spelling of 10002256 in words is "ten million, two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 748 1496 2992 3343 6686 13372 26744 36773 53488 56831 73546 113662 147092 227324 294184 454648 588368 625141 909296 1250282 2500564 5001128 10002256