Search a number
-
+
144624020 = 2257231201
BaseRepresentation
bin10001001111011…
…00100110010100
3101002010122212012
420213230212110
5244010432040
622203443352
73404166242
oct1047544624
9332118765
10144624020
1174700192
1240526558
1323c68c58
14152c9792
15ca6b865
hex89ec994

144624020 has 12 divisors (see below), whose sum is σ = 303710484. Its totient is φ = 57849600.

The previous prime is 144624017. The next prime is 144624031. The reversal of 144624020 is 20426441.

144624020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 103510276 + 41113744 = 10174^2 + 6412^2 .

It is a super-2 number, since 2×1446240202 = 41832214321920800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3615581 + ... + 3615620.

It is an arithmetic number, because the mean of its divisors is an integer number (25309207).

Almost surely, 2144624020 is an apocalyptic number.

144624020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144624020 is an abundant number, since it is smaller than the sum of its proper divisors (159086464).

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

144624020 is a wasteful number, since it uses less digits than its factorization.

144624020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7231210 (or 7231208 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 144624020 is about 12025.9727257299. The cubic root of 144624020 is about 524.9043151393.

The spelling of 144624020 in words is "one hundred forty-four million, six hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 7231201 14462402 28924804 36156005 72312010 144624020