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144291060 = 22325801617
BaseRepresentation
bin10001001100110…
…11010011110100
3101001111202010100
420212123103310
5243414303220
622152354100
73401311434
oct1046332364
9331452110
10144291060
11744a3011
12403a5930
1323b80534
14152402c4
15ca02d90
hex899b4f4

144291060 has 36 divisors (see below), whose sum is σ = 437683428. Its totient is φ = 38477568.

The previous prime is 144291001. The next prime is 144291067. The reversal of 144291060 is 60192441.

144291060 is digitally balanced in base 2, 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 51322896 + 92968164 = 7164^2 + 9642^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144291067) 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, 400629 + ... + 400988.

It is an arithmetic number, because the mean of its divisors is an integer number (12157873).

Almost surely, 2144291060 is an apocalyptic number.

144291060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144291060 is an abundant number, since it is smaller than the sum of its proper divisors (293392368).

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

144291060 is a wasteful number, since it uses less digits than its factorization.

144291060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801632 (or 801627 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144291060 is about 12012.1213780081. The cubic root of 144291060 is about 524.5011860801.

The spelling of 144291060 in words is "one hundred forty-four million, two hundred ninety-one thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 801617 1603234 2404851 3206468 4008085 4809702 7214553 8016170 9619404 12024255 14429106 16032340 24048510 28858212 36072765 48097020 72145530 144291060