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144554020 = 225133071811
BaseRepresentation
bin10001001110110…
…11100000100100
3101002000002211121
420213123200210
5244001212040
622202143324
73403455202
oct1047334044
9332002747
10144554020
1174662636
12404b1b44
1323c43130
14152ac072
15ca55c4a
hex89db824

144554020 has 48 divisors (see below), whose sum is σ = 328160448. Its totient is φ = 53170560.

The previous prime is 144554017. The next prime is 144554027. The reversal of 144554020 is 20455441.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (144554027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78915 + ... + 80725.

It is an arithmetic number, because the mean of its divisors is an integer number (6836676).

Almost surely, 2144554020 is an apocalyptic number.

144554020 is a gapful number since it is divisible by the number (10) 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 144554020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164080224).

144554020 is an abundant number, since it is smaller than the sum of its proper divisors (183606428).

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

144554020 is a wasteful number, since it uses less digits than its factorization.

144554020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 144554020 is about 12023.0620059950. The cubic root of 144554020 is about 524.8196145210.

The spelling of 144554020 in words is "one hundred forty-four million, five hundred fifty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 307 614 1228 1535 1811 3070 3622 3991 6140 7244 7982 9055 15964 18110 19955 23543 36220 39910 47086 79820 94172 117715 235430 470860 555977 1111954 2223908 2779885 5559770 7227701 11119540 14455402 28910804 36138505 72277010 144554020