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144632260 = 225173711497
BaseRepresentation
bin10001001111011…
…10100111000100
3101002011002011101
420213232213010
5244011213020
622203545444
73404232253
oct1047564704
9332132141
10144632260
11747063a3
124052b284
1323c6c926
14152cc79a
15ca6e00a
hex89ee9c4

144632260 has 48 divisors (see below), whose sum is σ = 330314544. Its totient is φ = 52973568.

The previous prime is 144632239. The next prime is 144632269. The reversal of 144632260 is 62236441.

144632260 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 8 ways, for example, as 17438976 + 127193284 = 4176^2 + 11278^2 .

It is not an unprimeable number, because it can be changed into a prime (144632269) 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, 6832 + ... + 18328.

It is an arithmetic number, because the mean of its divisors is an integer number (6881553).

Almost surely, 2144632260 is an apocalyptic number.

144632260 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 144632260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165157272).

144632260 is an abundant number, since it is smaller than the sum of its proper divisors (185682284).

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

144632260 is a wasteful number, since it uses less digits than its factorization.

144632260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560 (or 11558 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 144632260 is about 12026.3153126799. The cubic root of 144632260 is about 524.9142838140.

The spelling of 144632260 in words is "one hundred forty-four million, six hundred thirty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 17 20 34 37 68 74 85 148 170 185 340 370 629 740 1258 2516 3145 6290 11497 12580 22994 45988 57485 114970 195449 229940 390898 425389 781796 850778 977245 1701556 1954490 2126945 3908980 4253890 7231613 8507780 14463226 28926452 36158065 72316130 144632260