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144820830 = 23571171883
BaseRepresentation
bin10001010000111…
…00101001011110
3101002111122211110
420220130221132
5244033231310
622212002450
73405646110
oct1050345136
9332448743
10144820830
1174825040
1240600426
13240076cb
141533b3b0
15caa9d20
hex8a1ca5e

144820830 has 128 divisors (see below), whose sum is σ = 439934976. Its totient is φ = 29635200.

The previous prime is 144820813. The next prime is 144820843. The reversal of 144820830 is 38028441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 163569 + ... + 164451.

It is an arithmetic number, because the mean of its divisors is an integer number (3436992).

Almost surely, 2144820830 is an apocalyptic number.

144820830 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 144820830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219967488).

144820830 is an abundant number, since it is smaller than the sum of its proper divisors (295114146).

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

144820830 is a wasteful number, since it uses less digits than its factorization.

144820830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982.

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 144820830 is about 12034.1526498545. The cubic root of 144820830 is about 525.1423106270.

The spelling of 144820830 in words is "one hundred forty-four million, eight hundred twenty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 71 77 105 110 142 154 165 210 213 231 330 355 385 426 462 497 710 770 781 883 994 1065 1155 1491 1562 1766 2130 2310 2343 2485 2649 2982 3905 4415 4686 4970 5298 5467 6181 7455 7810 8830 9713 10934 11715 12362 13245 14910 16401 18543 19426 23430 26490 27335 29139 30905 32802 37086 48565 54670 58278 61810 62693 67991 82005 92715 97130 125386 135982 145695 164010 185430 188079 203973 291390 313465 339955 376158 407946 438851 626930 679910 689623 877702 940395 1019865 1316553 1379246 1880790 2039730 2068869 2194255 2633106 3448115 4137738 4388510 4827361 6582765 6896230 9654722 10344345 13165530 14482083 20688690 24136805 28964166 48273610 72410415 144820830