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144243060 = 223513199733
BaseRepresentation
bin10001001100011…
…11100101110100
3101001102022021120
420212033211310
5243411234220
622151343540
73401021463
oct1046174564
9331368246
10144243060
117446aa45
1240381bb0
1323b64730
141522a9da
15c9e3a40
hex898f974

144243060 has 96 divisors (see below), whose sum is σ = 457887360. Its totient is φ = 33633792.

The previous prime is 144243059. The next prime is 144243061. The reversal of 144243060 is 60342441.

144243060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144243059) and next prime (144243061).

It is a self number, because there is not a number n which added to its sum of digits gives 144243060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144243061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9954 + ... + 19686.

It is an arithmetic number, because the mean of its divisors is an integer number (4769660).

Almost surely, 2144243060 is an apocalyptic number.

144243060 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 144243060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228943680).

144243060 is an abundant number, since it is smaller than the sum of its proper divisors (313644300).

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

144243060 is a wasteful number, since it uses less digits than its factorization.

144243060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9777 (or 9775 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 144243060 is about 12010.1232300089. The cubic root of 144243060 is about 524.4430192767.

The spelling of 144243060 in words is "one hundred forty-four million, two hundred forty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 9733 14820 19466 29199 38932 48665 58398 97330 116796 126529 145995 184927 194660 253058 291990 369854 379587 506116 554781 583980 632645 739708 759174 924635 1109562 1265290 1518348 1849270 1897935 2219124 2404051 2530580 2773905 3698540 3795870 4808102 5547810 7212153 7591740 9616204 11095620 12020255 14424306 24040510 28848612 36060765 48081020 72121530 144243060