Search a number
-
+
10357985 = 511832269
BaseRepresentation
bin100111100000…
…110011100001
3201111020111002
4213200303201
510122423420
61010001345
7154020131
oct47406341
921436432
1010357985
115935120
123576255
1321b87b1
141538ac1
15d99075
hex9e0ce1

10357985 has 16 divisors (see below), whose sum is σ = 13728960. Its totient is φ = 7439040.

The previous prime is 10357973. The next prime is 10357987. The reversal of 10357985 is 58975301.

It is a de Polignac number, because none of the positive numbers 2k-10357985 is a prime.

It is a super-3 number, since 3×103579853 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10357987) 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 15 ways as a sum of consecutive naturals, for example, 3431 + ... + 5699.

It is an arithmetic number, because the mean of its divisors is an integer number (858060).

Almost surely, 210357985 is an apocalyptic number.

It is an amenable number.

10357985 is a deficient number, since it is larger than the sum of its proper divisors (3370975).

10357985 is a wasteful number, since it uses less digits than its factorization.

10357985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2368.

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 10357985 is about 3218.3823576449. The cubic root of 10357985 is about 217.9842384026.

The spelling of 10357985 in words is "ten million, three hundred fifty-seven thousand, nine hundred eighty-five".

Divisors: 1 5 11 55 83 415 913 2269 4565 11345 24959 124795 188327 941635 2071597 10357985