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10000144 = 247118117
BaseRepresentation
bin100110001001…
…011100010000
3200211001121201
4212021130100
510030001034
6554200544
7150666640
oct46113420
920731551
1010000144
115710290
123423154
1320c195b
141484520
15d28014
hex989710

10000144 has 40 divisors (see below), whose sum is σ = 24159168. Its totient is φ = 3895680.

The previous prime is 10000141. The next prime is 10000169. The reversal of 10000144 is 44100001.

It is a self number, because there is not a number n which added to its sum of digits gives 10000144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2827 + ... + 5290.

Almost surely, 210000144 is an apocalyptic number.

10000144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10000144 is an abundant number, since it is smaller than the sum of its proper divisors (14159024).

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

10000144 is a wasteful number, since it uses less digits than its factorization.

10000144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8143 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 10000144 is about 3162.3004284856. The cubic root of 10000144 is about 215.4445031269. Note that the first 3 decimals are identical.

Adding to 10000144 its reverse (44100001), we get a palindrome (54100145).

It can be divided in two parts, 100001 and 44, that multiplied together give a palindrome (4400044).

The spelling of 10000144 in words is "ten million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 8117 16234 32468 56819 64936 89287 113638 129872 178574 227276 357148 454552 625009 714296 909104 1250018 1428592 2500036 5000072 10000144