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10149893 = 131574973
BaseRepresentation
bin100110101110…
…000000000101
3201002200000222
4212232000011
510044244033
61001314125
7152162345
oct46560005
921080028
1010149893
115802846
123495945
132144b70
1414c2d25
15d57598
hex9ae005

10149893 has 8 divisors (see below), whose sum is σ = 11002488. Its totient is φ = 9307584.

The previous prime is 10149869. The next prime is 10149899. The reversal of 10149893 is 39894101.

It can be written as a sum of positive squares in 4 ways, for example, as 277729 + 9872164 = 527^2 + 3142^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10149893 - 212 = 10145797 is a prime.

It is a super-2 number, since 2×101498932 = 206040655822898, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10149899) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 446 + ... + 4527.

It is an arithmetic number, because the mean of its divisors is an integer number (1375311).

Almost surely, 210149893 is an apocalyptic number.

10149893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10149893 is a deficient number, since it is larger than the sum of its proper divisors (852595).

10149893 is a wasteful number, since it uses less digits than its factorization.

10149893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143.

The product of its (nonzero) digits is 7776, while the sum is 35.

The square root of 10149893 is about 3185.8896716616. The cubic root of 10149893 is about 216.5145838732.

It can be divided in two parts, 101 and 49893, that added together give a palindrome (49994).

The spelling of 10149893 in words is "ten million, one hundred forty-nine thousand, eight hundred ninety-three".

Divisors: 1 13 157 2041 4973 64649 780761 10149893