Search a number
-
+
10357065 = 345107239
BaseRepresentation
bin100111100000…
…100101001001
3201111012020000
4213200211021
510122411230
61005553213
7154014345
oct47404511
921435200
1010357065
115934464
123575809
1321b8254
141538625
15d98b60
hex9e0949

10357065 has 40 divisors (see below), whose sum is σ = 18817920. Its totient is φ = 5449248.

The previous prime is 10357057. The next prime is 10357079. The reversal of 10357065 is 56075301.

It is not a de Polignac number, because 10357065 - 23 = 10357057 is a prime.

It is a super-3 number, since 3×103570653 (a number of 22 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 43216 + ... + 43454.

It is an arithmetic number, because the mean of its divisors is an integer number (470448).

Almost surely, 210357065 is an apocalyptic number.

10357065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10357065 is a deficient number, since it is larger than the sum of its proper divisors (8460855).

10357065 is a wasteful number, since it uses less digits than its factorization.

10357065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 10357065 is about 3218.2394255245. The cubic root of 10357065 is about 217.9777843983.

It can be divided in two parts, 1035 and 7065, that added together give a square (8100 = 902).

The spelling of 10357065 in words is "ten million, three hundred fifty-seven thousand, sixty-five".

Divisors: 1 3 5 9 15 27 45 81 107 135 239 321 405 535 717 963 1195 1605 2151 2889 3585 4815 6453 8667 10755 14445 19359 25573 32265 43335 76719 96795 127865 230157 383595 690471 1150785 2071413 3452355 10357065