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10026464 = 257172633
BaseRepresentation
bin100110001111…
…110111100000
3200212101201112
4212033313200
510031321324
6554522452
7151136450
oct46176740
920771645
1010026464
115729038
123436428
132100926
14148dd60
15d30c0e
hex98fde0

10026464 has 48 divisors (see below), whose sum is σ = 23895648. Its totient is φ = 4042752.

The previous prime is 10026461. The next prime is 10026479. The reversal of 10026464 is 46462001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10026461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2492 + ... + 5124.

It is an arithmetic number, because the mean of its divisors is an integer number (497826).

Almost surely, 210026464 is an apocalyptic number.

10026464 is a gapful number since it is divisible by the number (14) 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 10026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11947824).

10026464 is an abundant number, since it is smaller than the sum of its proper divisors (13869184).

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

10026464 is a wasteful number, since it uses less digits than its factorization.

10026464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2667 (or 2659 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 10026464 is about 3166.4592212754. The cubic root of 10026464 is about 215.6333514654.

Adding to 10026464 its reverse (46462001), we get a palindrome (56488465).

The spelling of 10026464 in words is "ten million, twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 2633 3808 5266 10532 18431 21064 36862 42128 44761 73724 84256 89522 147448 179044 294896 313327 358088 589792 626654 716176 1253308 1432352 2506616 5013232 10026464