Search a number
-
+
14983020 = 223251319337
BaseRepresentation
bin111001001001…
…111101101100
31001012012211200
4321021331230
512313424040
61253045500
7241232163
oct71117554
931165750
1014983020
118503a68
125026890
1331479c0
141dc03da
1514ae630
hexe49f6c

14983020 has 144 divisors (see below), whose sum is σ = 51673440. Its totient is φ = 3483648.

The previous prime is 14982977. The next prime is 14983027. The reversal of 14983020 is 2038941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14983027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44292 + ... + 44628.

Almost surely, 214983020 is an apocalyptic number.

14983020 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 14983020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25836720).

14983020 is an abundant number, since it is smaller than the sum of its proper divisors (36690420).

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

14983020 is a wasteful number, since it uses less digits than its factorization.

14983020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14983020 is about 3870.7906169154. The cubic root of 14983020 is about 246.5281138946.

The spelling of 14983020 in words is "fourteen million, nine hundred eighty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 337 342 380 390 468 494 570 585 674 684 741 780 855 988 1011 1140 1170 1235 1348 1482 1685 1710 2022 2223 2340 2470 2964 3033 3370 3420 3705 4044 4381 4446 4940 5055 6066 6403 6740 7410 8762 8892 10110 11115 12132 12806 13143 14820 15165 17524 19209 20220 21905 22230 25612 26286 30330 32015 38418 39429 43810 44460 52572 57627 60660 64030 65715 76836 78858 83239 87620 96045 115254 128060 131430 157716 166478 192090 197145 230508 249717 262860 288135 332956 384180 394290 416195 499434 576270 749151 788580 832390 998868 1152540 1248585 1498302 1664780 2497170 2996604 3745755 4994340 7491510 14983020