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144000020 = 22583223389
BaseRepresentation
bin10001001010101…
…00010000010100
3101000221221220002
420211110100110
5243331000040
622142230432
73365660063
oct1045242024
9330857802
10144000020
117431438a
1240285418
1323aaac18
14151a61da
15c996a15
hex8954414

144000020 has 48 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 56505216.

The previous prime is 144000001. The next prime is 144000023. The reversal of 144000020 is 20000441.

It is a junction number, because it is equal to n+sod(n) for n = 143999965 and 144000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144000023) 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, 369986 + ... + 370374.

It is an arithmetic number, because the mean of its divisors is an integer number (6420960).

Almost surely, 2144000020 is an apocalyptic number.

144000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144000020 is an abundant number, since it is smaller than the sum of its proper divisors (164206060).

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

144000020 is a wasteful number, since it uses less digits than its factorization.

144000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 144000020 is about 12000.0008333333. Note that the first 3 decimals coincide. The cubic root of 144000020 is about 524.1483031079.

Adding to 144000020 its reverse (20000441), we get a palindrome (164000461).

The spelling of 144000020 in words is "one hundred forty-four million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 83 166 223 332 389 415 446 778 830 892 1115 1556 1660 1945 2230 3890 4460 7780 18509 32287 37018 64574 74036 86747 92545 129148 161435 173494 185090 322870 346988 370180 433735 645740 867470 1734940 7200001 14400002 28800004 36000005 72000010 144000020