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144976 = 24131741
BaseRepresentation
bin100011011001010000
321100212111
4203121100
514114401
63035104
71142446
oct433120
9240774
10144976
1199a17
126ba94
1350cb0
143ab96
152ce51
hex23650

144976 has 40 divisors (see below), whose sum is σ = 328104. Its totient is φ = 61440.

The previous prime is 144973. The next prime is 144983. The reversal of 144976 is 679441.

It can be written as a sum of positive squares in 4 ways, for example, as 576 + 144400 = 24^2 + 380^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144973) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3516 + ... + 3556.

2144976 is an apocalyptic number.

144976 is a gapful number since it is divisible by the number (16) 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 144976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164052).

144976 is an abundant number, since it is smaller than the sum of its proper divisors (183128).

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

144976 is a wasteful number, since it uses less digits than its factorization.

144976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 73 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 144976 is about 380.7571404452. The cubic root of 144976 is about 52.5329800338.

The spelling of 144976 in words is "one hundred forty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 13 16 17 26 34 41 52 68 82 104 136 164 208 221 272 328 442 533 656 697 884 1066 1394 1768 2132 2788 3536 4264 5576 8528 9061 11152 18122 36244 72488 144976