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14984040 = 2335236189
BaseRepresentation
bin111001001010…
…001101101000
31001012021020110
4321022031220
512313442130
61253054320
7241235151
oct71121550
931167213
1014984040
118504805
1250273a0
1331482c6
141dc0928
1514aeab0
hexe4a368

14984040 has 128 divisors (see below), whose sum is σ = 48211200. Its totient is φ = 3717120.

The previous prime is 14984033. The next prime is 14984051. The reversal of 14984040 is 4048941.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14983989 and 14984007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168316 + ... + 168404.

It is an arithmetic number, because the mean of its divisors is an integer number (376650).

Almost surely, 214984040 is an apocalyptic number.

14984040 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 14984040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24105600).

14984040 is an abundant number, since it is smaller than the sum of its proper divisors (33227160).

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

14984040 is a wasteful number, since it uses less digits than its factorization.

14984040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14984040 is about 3870.9223707018. The cubic root of 14984040 is about 246.5337080710.

The spelling of 14984040 in words is "fourteen million, nine hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 61 69 89 92 115 120 122 138 178 183 184 230 244 267 276 305 345 356 366 445 460 488 534 552 610 690 712 732 890 915 920 1068 1220 1335 1380 1403 1464 1780 1830 2047 2136 2440 2670 2760 2806 3560 3660 4094 4209 5340 5429 5612 6141 7015 7320 8188 8418 10235 10680 10858 11224 12282 14030 16287 16376 16836 20470 21045 21716 24564 27145 28060 30705 32574 33672 40940 42090 43432 49128 54290 56120 61410 65148 81435 81880 84180 108580 122820 124867 130296 162870 168360 217160 245640 249734 325740 374601 499468 624335 651480 749202 998936 1248670 1498404 1873005 2497340 2996808 3746010 4994680 7492020 14984040