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10214656 = 2839901
BaseRepresentation
bin100110111101…
…110100000000
3201012221212121
4212331310000
510103332111
61002534024
7152552224
oct46756400
921187777
1010214656
115847471
123507314
13216849a
1414dc784
15d6b871
hex9bdd00

10214656 has 18 divisors (see below), whose sum is σ = 20389922. Its totient is φ = 5107200.

The previous prime is 10214623. The next prime is 10214663. The reversal of 10214656 is 65641201.

It can be written as a sum of positive squares in only one way, i.e., 6150400 + 4064256 = 2480^2 + 2016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10214656.

It is a congruent number.

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 19695 + ... + 20206.

Almost surely, 210214656 is an apocalyptic number.

10214656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10214656 is a deficient number, since it is larger than the sum of its proper divisors (10175266).

10214656 is an frugal number, since it uses more digits than its factorization.

10214656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39917 (or 39903 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 10214656 is about 3196.0375467131. The cubic root of 10214656 is about 216.9741097613.

Adding to 10214656 its reverse (65641201), we get a palindrome (75855857).

The spelling of 10214656 in words is "ten million, two hundred fourteen thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 39901 79802 159604 319208 638416 1276832 2553664 5107328 10214656