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10422272 = 2117727
BaseRepresentation
bin100111110000…
…100000000000
3201121111200002
4213300200000
510132003042
61011215132
7154405430
oct47604000
921544602
1010422272
115979453
1235a74a8
13220bb33
1415542c0
15dad132
hex9f0800

10422272 has 48 divisors (see below), whose sum is σ = 23849280. Its totient is φ = 4460544.

The previous prime is 10422263. The next prime is 10422301. The reversal of 10422272 is 27222401.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13973 + ... + 14699.

It is an arithmetic number, because the mean of its divisors is an integer number (496860).

Almost surely, 210422272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10422272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11924640).

10422272 is an abundant number, since it is smaller than the sum of its proper divisors (13427008).

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

10422272 is an frugal number, since it uses more digits than its factorization.

10422272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 20.

The square root of 10422272 is about 3228.3543795562. The cubic root of 10422272 is about 218.4342828372.

Adding to 10422272 its reverse (27222401), we get a palindrome (37644673).

The spelling of 10422272 in words is "ten million, four hundred twenty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 727 896 1024 1454 1792 2048 2908 3584 5089 5816 7168 10178 11632 14336 20356 23264 40712 46528 81424 93056 162848 186112 325696 372224 651392 744448 1302784 1488896 2605568 5211136 10422272