Search a number
-
+
10146996 = 2232521541
BaseRepresentation
bin100110101101…
…010010110100
3201002112001200
4212231102310
510044200441
61001252500
7152151036
oct46552264
921075050
1010146996
115800652
123494130
132143752
1414c1c56
15d567b6
hex9ad4b4

10146996 has 36 divisors (see below), whose sum is σ = 25746084. Its totient is φ = 3369600.

The previous prime is 10146959. The next prime is 10147001. The reversal of 10146996 is 69964101.

10146996 is a `hidden beast` number, since 101 + 469 + 96 = 666.

10146996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3459600 + 6687396 = 1860^2 + 2586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10146996.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18486 + ... + 19026.

It is an arithmetic number, because the mean of its divisors is an integer number (715169).

Almost surely, 210146996 is an apocalyptic number.

It is an amenable number.

10146996 is an abundant number, since it is smaller than the sum of its proper divisors (15599088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10146996 is a wasteful number, since it uses less digits than its factorization.

10146996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 10146996 is about 3185.4349781466. The cubic root of 10146996 is about 216.4939825909.

The spelling of 10146996 in words is "ten million, one hundred forty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 521 541 1042 1082 1563 1623 2084 2164 3126 3246 4689 4869 6252 6492 9378 9738 18756 19476 281861 563722 845583 1127444 1691166 2536749 3382332 5073498 10146996