Search a number
-
+
10125945 = 335107701
BaseRepresentation
bin100110101000…
…001001111001
3201001110012000
4212220021321
510043012240
61001011213
7152032464
oct46501171
921043160
1010125945
115796855
123483b09
132136cab
1414b82db
15d50430
hex9a8279

10125945 has 32 divisors (see below), whose sum is σ = 18195840. Its totient is φ = 5342400.

The previous prime is 10125943. The next prime is 10125953. The reversal of 10125945 is 54952101.

It is not a de Polignac number, because 10125945 - 21 = 10125943 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10125943) by changing a digit.

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 in 31 ways as a sum of consecutive naturals, for example, 14095 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (568620).

Almost surely, 210125945 is an apocalyptic number.

10125945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10125945 is a deficient number, since it is larger than the sum of its proper divisors (8069895).

10125945 is a wasteful number, since it uses less digits than its factorization.

10125945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 10125945 is about 3182.1290042989. The cubic root of 10125945 is about 216.3441658347.

It can be divided in two parts, 10125 and 945, that multiplied together give a triangular number (9568125 = T4374).

The spelling of 10125945 in words is "ten million, one hundred twenty-five thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 27 45 107 135 321 535 701 963 1605 2103 2889 3505 4815 6309 10515 14445 18927 31545 75007 94635 225021 375035 675063 1125105 2025189 3375315 10125945