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10490821 = 112277313
BaseRepresentation
bin101000000001…
…001111000101
3201201222200221
4220001033011
510141201241
61012504341
7155112325
oct50011705
921658627
1010490821
115a15a00
12361b0b1
1322340b3
141571285
15dc35d1
hexa013c5

10490821 has 12 divisors (see below), whose sum is σ = 11609836. Its totient is φ = 9472320.

The previous prime is 10490813. The next prime is 10490833. The reversal of 10490821 is 12809401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 662596 + 9828225 = 814^2 + 3135^2 .

It is not a de Polignac number, because 10490821 - 23 = 10490813 is a prime.

It is a super-2 number, since 2×104908212 = 220114650508082, which contains 22 as substring.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10490801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33361 + ... + 33673.

Almost surely, 210490821 is an apocalyptic number.

10490821 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10490821 is a deficient number, since it is larger than the sum of its proper divisors (1119015).

10490821 is a wasteful number, since it uses less digits than its factorization.

10490821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 10490821 is about 3238.9536890792. The cubic root of 10490821 is about 218.9121294929.

It can be divided in two parts, 10490 and 821, that added together give a palindrome (11311).

The spelling of 10490821 in words is "ten million, four hundred ninety thousand, eight hundred twenty-one".

Divisors: 1 11 121 277 313 3047 3443 33517 37873 86701 953711 10490821