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20101376 = 28233337
BaseRepresentation
bin100110010101…
…1100100000000
31101211020220102
41030223210000
520121221001
61554501532
7332600411
oct114534400
941736812
1020101376
111038a509
1268948a8
13421a609
142953808
151b70e6b
hex132b900

20101376 has 36 divisors (see below), whose sum is σ = 40416012. Its totient is φ = 9977856.

The previous prime is 20101369. The next prime is 20101387. The reversal of 20101376 is 67310102.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4734976 + 15366400 = 2176^2 + 3920^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59480 + ... + 59816.

It is an arithmetic number, because the mean of its divisors is an integer number (1122667).

Almost surely, 220101376 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 20101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20208006).

20101376 is an abundant number, since it is smaller than the sum of its proper divisors (20314636).

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

20101376 is an equidigital number, since it uses as much as digits as its factorization.

20101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 20101376 is about 4483.4558099752. The cubic root of 20101376 is about 271.8996169369.

Adding to 20101376 its reverse (67310102), we get a palindrome (87411478).

The spelling of 20101376 in words is "twenty million, one hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 233 256 337 466 674 932 1348 1864 2696 3728 5392 7456 10784 14912 21568 29824 43136 59648 78521 86272 157042 314084 628168 1256336 2512672 5025344 10050688 20101376