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144076460 = 225114115973
BaseRepresentation
bin10001001011001…
…10111010101100
3101001002211202012
420211212322230
5243340421320
622144020352
73366425663
oct1045467254
9331084665
10144076460
1174366860
12403016b8
1323b06958
14151c5dda
15c9ae4c5
hex8966eac

144076460 has 48 divisors (see below), whose sum is σ = 338137632. Its totient is φ = 51110400.

The previous prime is 144076459. The next prime is 144076477. The reversal of 144076460 is 64670441.

144076460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1440764602 = 41516052652263200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1034 + ... + 17006.

It is an arithmetic number, because the mean of its divisors is an integer number (7044534).

Almost surely, 2144076460 is an apocalyptic number.

144076460 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 144076460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169068816).

144076460 is an abundant number, since it is smaller than the sum of its proper divisors (194061172).

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

144076460 is a wasteful number, since it uses less digits than its factorization.

144076460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16034 (or 16032 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 144076460 is about 12003.1854105483. The cubic root of 144076460 is about 524.2410318194.

The spelling of 144076460 in words is "one hundred forty-four million, seventy-six thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 15973 31946 63892 79865 159730 175703 319460 351406 654893 702812 878515 1309786 1757030 2619572 3274465 3514060 6548930 7203823 13097860 14407646 28815292 36019115 72038230 144076460