Search a number
-
+
144269000 = 2353891621
BaseRepresentation
bin10001001100101…
…01111011001000
3101001110121212022
420212111323020
5243413102000
622152104012
73401160221
oct1046257310
9331417768
10144269000
1174488487
1240395008
1323b73495
1415236248
15c9eb585
hex8995ec8

144269000 has 64 divisors (see below), whose sum is σ = 341593200. Its totient is φ = 57024000.

The previous prime is 144268981. The next prime is 144269029. The reversal of 144269000 is 962441.

It can be written as a sum of positive squares in 8 ways, for example, as 3467044 + 140801956 = 1862^2 + 11866^2 .

It is a super-2 number, since 2×1442690002 = 41627088722000000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88190 + ... + 89810.

Almost surely, 2144269000 is an apocalyptic number.

144269000 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 144269000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170796600).

144269000 is an abundant number, since it is smaller than the sum of its proper divisors (197324200).

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

144269000 is a wasteful number, since it uses less digits than its factorization.

144269000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1717 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

The square root of 144269000 is about 12011.2031037694. The cubic root of 144269000 is about 524.4744551889.

The spelling of 144269000 in words is "one hundred forty-four million, two hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 178 200 250 356 445 500 712 890 1000 1621 1780 2225 3242 3560 4450 6484 8105 8900 11125 12968 16210 17800 22250 32420 40525 44500 64840 81050 89000 144269 162100 202625 288538 324200 405250 577076 721345 810500 1154152 1442690 1621000 2885380 3606725 5770760 7213450 14426900 18033625 28853800 36067250 72134500 144269000