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144006590 = 25721323747
BaseRepresentation
bin10001001010101…
…01110110111110
3101000222021220102
420211111312332
5243331202330
622142321102
73366015200
oct1045256676
9330867812
10144006590
1174319312
1240289192
1323ab0c00
14151a8770
15c998945
hex8955dbe

144006590 has 144 divisors (see below), whose sum is σ = 342470592. Its totient is φ = 43400448.

The previous prime is 144006581. The next prime is 144006631. The reversal of 144006590 is 95600441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3063947 + ... + 3063993.

It is an arithmetic number, because the mean of its divisors is an integer number (2378268).

Almost surely, 2144006590 is an apocalyptic number.

144006590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144006590 is an abundant number, since it is smaller than the sum of its proper divisors (198464002).

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

144006590 is a wasteful number, since it uses less digits than its factorization.

144006590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 144006590 is about 12000.2745801919. The cubic root of 144006590 is about 524.1562744077.

The spelling of 144006590 in words is "one hundred forty-four million, six thousand, five hundred ninety".

Divisors: 1 2 5 7 10 13 14 26 35 37 47 49 65 70 74 91 94 98 130 169 182 185 235 245 259 329 338 370 455 470 481 490 518 611 637 658 845 910 962 1183 1222 1274 1295 1645 1690 1739 1813 2303 2366 2405 2590 3055 3185 3290 3367 3478 3626 4277 4606 4810 5915 6110 6253 6370 6734 7943 8281 8554 8695 9065 11515 11830 12173 12506 15886 16562 16835 17390 18130 21385 22607 23030 23569 24346 29939 31265 33670 39715 41405 42770 43771 45214 47138 55601 59878 60865 62530 79430 82810 85211 87542 111202 113035 117845 121730 149695 158249 170422 218855 226070 235690 278005 293891 299390 306397 316498 389207 426055 437710 556010 587782 612794 778414 791245 852110 1107743 1469455 1531985 1582490 1946035 2057237 2215486 2938910 3063970 3892070 4114474 5538715 10286185 11077430 14400659 20572370 28801318 72003295 144006590