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144490830 = 235112319037
BaseRepresentation
bin10001001110011…
…00000101001110
3101001212220011020
420213030011032
5243442201310
622200535010
73403103031
oct1047140516
9331786136
10144490830
117461a110
1240481466
1323c20443
1415293018
15ca42170
hex89cc14e

144490830 has 64 divisors (see below), whose sum is σ = 394771968. Its totient is φ = 33503360.

The previous prime is 144490781. The next prime is 144490849. The reversal of 144490830 is 38094441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 144490791 and 144490800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929 + ... + 17108.

It is an arithmetic number, because the mean of its divisors is an integer number (6168312).

Almost surely, 2144490830 is an apocalyptic number.

144490830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144490830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197385984).

144490830 is an abundant number, since it is smaller than the sum of its proper divisors (250281138).

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

144490830 is a wasteful number, since it uses less digits than its factorization.

144490830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19081.

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 144490830 is about 12020.4338524032. The cubic root of 144490830 is about 524.7431305765.

The spelling of 144490830 in words is "one hundred forty-four million, four hundred ninety thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 690 759 1265 1518 2530 3795 7590 19037 38074 57111 95185 114222 190370 209407 285555 418814 437851 571110 628221 875702 1047035 1256442 1313553 2094070 2189255 2627106 3141105 4378510 4816361 6282210 6567765 9632722 13135530 14449083 24081805 28898166 48163610 72245415 144490830