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10054992 = 243474457
BaseRepresentation
bin100110010110…
…110101010000
3200220211212010
4212112311100
510033224432
6555302520
7151315563
oct46266520
920824763
1010054992
115748512
12344aa40
1321108cc
14149a4da
15d393cc
hex996d50

10054992 has 40 divisors (see below), whose sum is σ = 26534016. Its totient is φ = 3279616.

The previous prime is 10054987. The next prime is 10054997. The reversal of 10054992 is 29945001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10054987) and next prime (10054997).

It is a super-2 number, since 2×100549922 = 202205728240128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10054997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28 + ... + 4484.

Almost surely, 210054992 is an apocalyptic number.

10054992 is a gapful number since it is divisible by the number (12) 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 10054992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13267008).

10054992 is an abundant number, since it is smaller than the sum of its proper divisors (16479024).

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

10054992 is a wasteful number, since it uses less digits than its factorization.

10054992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4515 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 10054992 is about 3170.9607376945. The cubic root of 10054992 is about 215.8376695295.

Adding to 10054992 its reverse (29945001), we get a palindrome (39999993).

The spelling of 10054992 in words is "ten million, fifty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 4457 8914 13371 17828 26742 35656 53484 71312 106968 209479 213936 418958 628437 837916 1256874 1675832 2513748 3351664 5027496 10054992