Search a number
-
+
10155054 = 2372132657
BaseRepresentation
bin100110101111…
…010000101110
3201002221010010
4212233100232
510044430204
61001354050
7152213400
oct46572056
921087103
1010155054
115806708
123498926
132147310
1414c4b70
15d58d89
hex9af42e

10155054 has 48 divisors (see below), whose sum is σ = 25453008. Its totient is φ = 2677248.

The previous prime is 10155053. The next prime is 10155071. The reversal of 10155054 is 45055101.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10155054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10155053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2494 + ... + 5150.

It is an arithmetic number, because the mean of its divisors is an integer number (530271).

Almost surely, 210155054 is an apocalyptic number.

10155054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10155054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12726504).

10155054 is an abundant number, since it is smaller than the sum of its proper divisors (15297954).

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

10155054 is a wasteful number, since it uses less digits than its factorization.

10155054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2689 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 10155054 is about 3186.6995465528. The cubic root of 10155054 is about 216.5512753084.

It can be divided in two parts, 101 and 55054, that added together give a palindrome (55155).

The spelling of 10155054 in words is "ten million, one hundred fifty-five thousand, fifty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 2657 3822 5314 7971 15942 18599 34541 37198 55797 69082 103623 111594 130193 207246 241787 260386 390579 483574 725361 781158 1450722 1692509 3385018 5077527 10155054