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144070560 = 25325100049
BaseRepresentation
bin10001001011001…
…01011110100000
3101001002112122200
420211211132200
5243340224220
622143533200
73366402534
oct1045453640
9331075580
10144070560
1174362387
12402ba200
1323b0406a
14151c3bc4
15c9ac890
hex89657a0

144070560 has 72 divisors (see below), whose sum is σ = 491645700. Its totient is φ = 38418432.

The previous prime is 144070543. The next prime is 144070571. The reversal of 144070560 is 65070441.

It can be written as a sum of positive squares in 2 ways, for example, as 119508624 + 24561936 = 10932^2 + 4956^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48585 + ... + 51464.

Almost surely, 2144070560 is an apocalyptic number.

144070560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144070560 is an abundant number, since it is smaller than the sum of its proper divisors (347575140).

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

144070560 is a wasteful number, since it uses less digits than its factorization.

144070560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100070 (or 100059 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 144070560 is about 12002.9396399382. The cubic root of 144070560 is about 524.2338757480.

It can be divided in two parts, 1440 and 70560, that multiplied together give a square (101606400 = 100802).

The spelling of 144070560 in words is "one hundred forty-four million, seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 100049 200098 300147 400196 500245 600294 800392 900441 1000490 1200588 1500735 1600784 1800882 2000980 2401176 3001470 3201568 3601764 4001960 4502205 4802352 6002940 7203528 8003920 9004410 9604704 12005880 14407056 16007840 18008820 24011760 28814112 36017640 48023520 72035280 144070560