Search a number
-
+
10287000975 = 3521311497027
BaseRepresentation
bin10011001010010011…
…10010110110001111
3222112220210210110010
421211021302312033
5132031433012400
64420434044303
7512631031326
oct114511626617
928486723403
1010287000975
1143a98200a9
121bb1119693
13c7c2b6634
146d83110bd
154031a0450
hex265272d8f

10287000975 has 48 divisors (see below), whose sum is σ = 17255145600. Its totient is φ = 5407209600.

The previous prime is 10287000973. The next prime is 10287001001. The reversal of 10287000975 is 57900078201.

It is not a de Polignac number, because 10287000975 - 21 = 10287000973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10287000973) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1460412 + ... + 1467438.

It is an arithmetic number, because the mean of its divisors is an integer number (359482200).

Almost surely, 210287000975 is an apocalyptic number.

10287000975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10287000975 is a deficient number, since it is larger than the sum of its proper divisors (6968144625).

10287000975 is a wasteful number, since it uses less digits than its factorization.

10287000975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7320 (or 7315 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The spelling of 10287000975 in words is "ten billion, two hundred eighty-seven million, nine hundred seventy-five", and thus it is an aban number.

Divisors: 1 3 5 15 25 75 131 149 393 447 655 745 1965 2235 3275 3725 7027 9825 11175 19519 21081 35135 58557 97595 105405 175675 292785 487975 527025 920537 1047023 1463925 2761611 3141069 4602685 5235115 13808055 15705345 23013425 26175575 69040275 78526725 137160013 411480039 685800065 2057400195 3429000325 10287000975