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10101376 = 27531489
BaseRepresentation
bin100110100010…
…001010000000
3201000012111001
4212202022000
510041221001
61000301344
7151601035
oct46421200
921005431
1010101376
11577a34a
123471854
132128a5c
1414ad38c
15d48001
hex9a2280

10101376 has 32 divisors (see below), whose sum is σ = 20517300. Its totient is φ = 4952064.

The previous prime is 10101373. The next prime is 10101397. The reversal of 10101376 is 67310101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10086976 + 14400 = 3176^2 + 120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10101373) by changing a digit.

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, 6040 + ... + 7528.

Almost surely, 210101376 is an apocalyptic number.

10101376 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 10101376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10258650).

10101376 is an abundant number, since it is smaller than the sum of its proper divisors (10415924).

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

10101376 is an equidigital number, since it uses as much as digits as its factorization.

10101376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 10101376 is about 3178.2661940121. The cubic root of 10101376 is about 216.1690491889.

Adding to 10101376 its reverse (67310101), we get a palindrome (77411477).

The spelling of 10101376 in words is "ten million, one hundred one thousand, three hundred seventy-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1489 1696 2978 3392 5956 6784 11912 23824 47648 78917 95296 157834 190592 315668 631336 1262672 2525344 5050688 10101376