Search a number
-
+
20100144 = 243537901
BaseRepresentation
bin100110010101…
…1010000110000
31101211012012210
41030223100300
520121201034
61554452120
7332564001
oct114532060
941735183
1020100144
1110389599
126894040
134219b9c
1429531a8
151b708e9
hex132b430

20100144 has 40 divisors (see below), whose sum is σ = 52911792. Its totient is φ = 6572800.

The previous prime is 20100097. The next prime is 20100149. The reversal of 20100144 is 44100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (20100149) 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, 1407 + ... + 6494.

Almost surely, 220100144 is an apocalyptic number.

20100144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20100144 is an abundant number, since it is smaller than the sum of its proper divisors (32811648).

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

20100144 is a wasteful number, since it uses less digits than its factorization.

20100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7965 (or 7959 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 20100144 is about 4483.3184138537. The cubic root of 20100144 is about 271.8940619743.

Adding to 20100144 its reverse (44100102), we get a palindrome (64200246).

The spelling of 20100144 in words is "twenty million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 7901 15802 23703 31604 47406 63208 94812 126416 189624 379248 418753 837506 1256259 1675012 2512518 3350024 5025036 6700048 10050072 20100144