Search a number
-
+
210339120 = 243519193239
BaseRepresentation
bin11001000100110…
…00010100110000
3112122210100000210
430202120110300
5412321322440
632512144120
75132565405
oct1442302460
9478710023
10210339120
11a8804992
125a538040
1334767324
141dd142ac
15136eca80
hexc898530

210339120 has 160 divisors (see below), whose sum is σ = 692812800. Its totient is φ = 52641792.

The previous prime is 210339097. The next prime is 210339127. The reversal of 210339120 is 21933012.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (210339127) 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, 879961 + ... + 880199.

It is an arithmetic number, because the mean of its divisors is an integer number (4330080).

Almost surely, 2210339120 is an apocalyptic number.

210339120 is a gapful number since it is divisible by the number (20) 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 210339120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346406400).

210339120 is an abundant number, since it is smaller than the sum of its proper divisors (482473680).

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

210339120 is a wasteful number, since it uses less digits than its factorization.

210339120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 210339120 is about 14503.0727778633. The cubic root of 210339120 is about 594.7119760320.

The spelling of 210339120 in words is "two hundred ten million, three hundred thirty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 193 228 239 240 285 304 380 386 456 478 570 579 717 760 772 912 956 965 1140 1158 1195 1434 1520 1544 1912 1930 2280 2316 2390 2868 2895 3088 3585 3667 3824 3860 4541 4560 4632 4780 5736 5790 7170 7334 7720 9082 9264 9560 11001 11472 11580 13623 14340 14668 15440 18164 18335 19120 22002 22705 23160 27246 28680 29336 36328 36670 44004 45410 46127 46320 54492 55005 57360 58672 68115 72656 73340 88008 90820 92254 108984 110010 136230 138381 146680 176016 181640 184508 217968 220020 230635 272460 276762 293360 363280 369016 440040 461270 544920 553524 691905 738032 876413 880080 922540 1089840 1107048 1383810 1752826 1845080 2214096 2629239 2767620 3505652 3690160 4382065 5258478 5535240 7011304 8764130 10516956 11070480 13146195 14022608 17528260 21033912 26292390 35056520 42067824 52584780 70113040 105169560 210339120