Search a number
-
+
10406452 = 2271931631
BaseRepresentation
bin100111101100…
…101000110100
3201120200222011
4213230220310
510131001302
61011014004
7154311340
oct47545064
921520864
1010406452
115968581
12359a304
132204884
14154c620
15da85d7
hex9eca34

10406452 has 48 divisors (see below), whose sum is σ = 22650880. Its totient is φ = 4082400.

The previous prime is 10406449. The next prime is 10406477. The reversal of 10406452 is 25460401.

10406452 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16177 + ... + 16807.

Almost surely, 210406452 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10406452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11325440).

10406452 is an abundant number, since it is smaller than the sum of its proper divisors (12244428).

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

10406452 is a wasteful number, since it uses less digits than its factorization.

10406452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 10406452 is about 3225.9032843531. The cubic root of 10406452 is about 218.3237061712.

Adding to 10406452 its reverse (25460401), we get a palindrome (35866853).

The spelling of 10406452 in words is "ten million, four hundred six thousand, four hundred fifty-two".

Divisors: 1 2 4 7 14 19 28 31 38 62 76 124 133 217 266 434 532 589 631 868 1178 1262 2356 2524 4123 4417 8246 8834 11989 16492 17668 19561 23978 39122 47956 78244 83923 136927 167846 273854 335692 371659 547708 743318 1486636 2601613 5203226 10406452