Search a number
-
+
10146045 = 357137433
BaseRepresentation
bin100110101101…
…000011111101
3201002110202110
4212231003331
510044133140
61001244233
7152145210
oct46550375
921073673
1010146045
1157aa968
123493679
1321431a0
1414c1777
15d56380
hex9ad0fd

10146045 has 32 divisors (see below), whose sum is σ = 19982592. Its totient is φ = 4280832.

The previous prime is 10146007. The next prime is 10146077. The reversal of 10146045 is 54064101.

It is not a de Polignac number, because 10146045 - 27 = 10145917 is a prime.

It is a super-3 number, since 3×101460453 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2352 + ... + 5081.

It is an arithmetic number, because the mean of its divisors is an integer number (624456).

Almost surely, 210146045 is an apocalyptic number.

10146045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10146045 is a deficient number, since it is larger than the sum of its proper divisors (9836547).

10146045 is a wasteful number, since it uses less digits than its factorization.

10146045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7461.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 10146045 is about 3185.2857014717. The cubic root of 10146045 is about 216.4872189402.

The spelling of 10146045 in words is "ten million, one hundred forty-six thousand, forty-five".

Divisors: 1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1365 7433 22299 37165 52031 96629 111495 156093 260155 289887 483145 676403 780465 1449435 2029209 3382015 10146045