Search a number
-
+
10628475 = 3521113991
BaseRepresentation
bin101000100010…
…110101111011
3201222222112020
4220202311323
510210102400
61015445523
7156224544
oct50426573
921888466
1010628475
115aaa370
1236868a3
132281950
1415a94cb
15dee2a0
hexa22d7b

10628475 has 48 divisors (see below), whose sum is σ = 20665344. Its totient is φ = 4752000.

The previous prime is 10628473. The next prime is 10628479. The reversal of 10628475 is 57482601.

It is not a de Polignac number, because 10628475 - 21 = 10628473 is a prime.

It is a super-2 number, since 2×106284752 = 225928961651250, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is not an unprimeable number, because it can be changed into a prime (10628473) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10230 + ... + 11220.

It is an arithmetic number, because the mean of its divisors is an integer number (430528).

Almost surely, 210628475 is an apocalyptic number.

10628475 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10628475 is a deficient number, since it is larger than the sum of its proper divisors (10036869).

10628475 is a wasteful number, since it uses less digits than its factorization.

10628475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10628475 is about 3260.1341996918. The cubic root of 10628475 is about 219.8654480278.

The spelling of 10628475 in words is "ten million, six hundred twenty-eight thousand, four hundred seventy-five".

Divisors: 1 3 5 11 13 15 25 33 39 55 65 75 143 165 195 275 325 429 715 825 975 991 2145 2973 3575 4955 10725 10901 12883 14865 24775 32703 38649 54505 64415 74325 141713 163515 193245 272525 322075 425139 708565 817575 966225 2125695 3542825 10628475