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10090976 = 257192371
BaseRepresentation
bin100110011111…
…100111100000
3200222200012212
4212133213200
510040402401
61000141252
7151525520
oct46374740
920880185
1010090976
115772555
123467828
1321240bc
1414a9680
15d44dbb
hex99f9e0

10090976 has 48 divisors (see below), whose sum is σ = 23909760. Its totient is φ = 4095360.

The previous prime is 10090963. The next prime is 10090981. The reversal of 10090976 is 67909001.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3071 + ... + 5441.

It is an arithmetic number, because the mean of its divisors is an integer number (498120).

Almost surely, 210090976 is an apocalyptic number.

10090976 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 10090976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11954880).

10090976 is an abundant number, since it is smaller than the sum of its proper divisors (13818784).

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

10090976 is a wasteful number, since it uses less digits than its factorization.

10090976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2399 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The square root of 10090976 is about 3176.6296605050. The cubic root of 10090976 is about 216.0948371840.

Adding to 10090976 its reverse (67909001), we get a palindrome (77999977).

The spelling of 10090976 in words is "ten million, ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 2371 4256 4742 9484 16597 18968 33194 37936 45049 66388 75872 90098 132776 180196 265552 315343 360392 531104 630686 720784 1261372 1441568 2522744 5045488 10090976