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144627930 = 23452947131
BaseRepresentation
bin10001001111011…
…01100011011010
3101002010212020000
420213231203122
5244011043210
622203513430
73404213526
oct1047554332
9332125200
10144627930
1174703117
1240528876
1323c6a975
14152cad86
15ca6cac0
hex89ed8da

144627930 has 160 divisors (see below), whose sum is σ = 413994240. Its totient is φ = 36167040.

The previous prime is 144627919. The next prime is 144627947. The reversal of 144627930 is 39726441.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1103965 + ... + 1104095.

It is an arithmetic number, because the mean of its divisors is an integer number (2587464).

Almost surely, 2144627930 is an apocalyptic number.

144627930 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 144627930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206997120).

144627930 is an abundant number, since it is smaller than the sum of its proper divisors (269366310).

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

144627930 is a wasteful number, since it uses less digits than its factorization.

144627930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 144627930 is about 12026.1352894436. The cubic root of 144627930 is about 524.9090454678.

The spelling of 144627930 in words is "one hundred forty-four million, six hundred twenty-seven thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 47 54 58 81 87 90 94 131 135 141 145 162 174 235 261 262 270 282 290 393 405 423 435 470 522 655 705 783 786 810 846 870 1179 1269 1305 1310 1363 1410 1566 1965 2115 2349 2358 2538 2610 2726 3537 3799 3807 3915 3930 4089 4230 4698 5895 6157 6345 6815 7074 7598 7614 7830 8178 10611 11397 11745 11790 12267 12314 12690 13630 17685 18471 18995 19035 20445 21222 22794 23490 24534 30785 34191 35370 36801 36942 37990 38070 40890 53055 55413 56985 61335 61570 68382 73602 92355 102573 106110 110403 110826 113970 122670 166239 170955 178553 184005 184710 205146 220806 277065 307719 332478 341910 357106 368010 498717 512865 535659 552015 554130 615438 831195 892765 997434 1025730 1071318 1104030 1538595 1606977 1662390 1785530 2493585 2678295 3077190 3213954 4820931 4987170 5356590 8034885 9641862 14462793 16069770 24104655 28925586 48209310 72313965 144627930