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10013238 = 2321743761
BaseRepresentation
bin100110001100…
…101000110110
3200211201120200
4212030220312
510030410423
6554341330
7151053054
oct46145066
920751520
1010013238
11571a104
12342a846
1320c78c1
1414891d4
15d2bd43
hex98ca36

10013238 has 48 divisors (see below), whose sum is σ = 23536656. Its totient is φ = 3064320.

The previous prime is 10013231. The next prime is 10013239. The reversal of 10013238 is 83231001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 10013238.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12778 + ... + 13538.

It is an arithmetic number, because the mean of its divisors is an integer number (490347).

Almost surely, 210013238 is an apocalyptic number.

10013238 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11768328).

10013238 is an abundant number, since it is smaller than the sum of its proper divisors (13523418).

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

10013238 is a wasteful number, since it uses less digits than its factorization.

10013238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 10013238 is about 3164.3700794945. The cubic root of 10013238 is about 215.5384951051.

Adding to 10013238 its reverse (83231001), we get a palindrome (93244239).

The spelling of 10013238 in words is "ten million, thirteen thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 34 43 51 86 102 129 153 258 306 387 731 761 774 1462 1522 2193 2283 4386 4566 6579 6849 12937 13158 13698 25874 32723 38811 65446 77622 98169 116433 196338 232866 294507 556291 589014 1112582 1668873 3337746 5006619 10013238