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10013444 = 2272471087
BaseRepresentation
bin100110001100…
…101100000100
3200211201212022
4212030230010
510030412234
6554342312
7151053500
oct46145404
920751768
1010013444
11571a281
12342a998
1320c7a1c
141489300
15d2be2e
hex98cb04

10013444 has 36 divisors (see below), whose sum is σ = 20837376. Its totient is φ = 4196304.

The previous prime is 10013431. The next prime is 10013447. The reversal of 10013444 is 44431001.

It is a super-2 number, since 2×100134442 = 200538121482272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10013447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8669 + ... + 9755.

It is an arithmetic number, because the mean of its divisors is an integer number (578816).

Almost surely, 210013444 is an apocalyptic number.

10013444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10013444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10418688).

10013444 is an abundant number, since it is smaller than the sum of its proper divisors (10823932).

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

10013444 is a wasteful number, since it uses less digits than its factorization.

10013444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 10013444 is about 3164.4026292493. The cubic root of 10013444 is about 215.5399731693.

Adding to 10013444 its reverse (44431001), we get a palindrome (54444445).

The spelling of 10013444 in words is "ten million, thirteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 47 49 94 98 188 196 329 658 1087 1316 2174 2303 4348 4606 7609 9212 15218 30436 51089 53263 102178 106526 204356 213052 357623 715246 1430492 2503361 5006722 10013444