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14021040 = 24351147113
BaseRepresentation
bin110101011111…
…000110110000
3222101100020210
4311133012300
512042133130
61220304120
7230114445
oct65370660
928340223
1014021040
117a07240
124842040
132b9bb97
141c0d9cc
15136e5b0
hexd5f1b0

14021040 has 160 divisors (see below), whose sum is σ = 48854016. Its totient is φ = 3297280.

The previous prime is 14021027. The next prime is 14021089. The reversal of 14021040 is 4012041.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124024 + ... + 124136.

Almost surely, 214021040 is an apocalyptic number.

14021040 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 14021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24427008).

14021040 is an abundant number, since it is smaller than the sum of its proper divisors (34832976).

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

14021040 is a wasteful number, since it uses less digits than its factorization.

14021040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 14021040 is about 3744.4679194780. The cubic root of 14021040 is about 241.1349026352.

Adding to 14021040 its reverse (4012041), we get a palindrome (18033081).

It can be divided in two parts, 1402 and 1040, that added together give a palindrome (2442).

The spelling of 14021040 in words is "fourteen million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 47 48 55 60 66 80 88 94 110 113 120 132 141 165 176 188 220 226 235 240 264 282 330 339 376 440 452 470 517 528 564 565 660 678 705 752 880 904 940 1034 1128 1130 1243 1320 1356 1410 1551 1695 1808 1880 2068 2256 2260 2486 2585 2640 2712 2820 3102 3390 3729 3760 4136 4520 4972 5170 5311 5424 5640 6204 6215 6780 7458 7755 8272 9040 9944 10340 10622 11280 12408 12430 13560 14916 15510 15933 18645 19888 20680 21244 24816 24860 26555 27120 29832 31020 31866 37290 41360 42488 49720 53110 58421 59664 62040 63732 74580 79665 84976 99440 106220 116842 124080 127464 149160 159330 175263 212440 233684 254928 292105 298320 318660 350526 424880 467368 584210 637320 701052 876315 934736 1168420 1274640 1402104 1752630 2336840 2804208 3505260 4673680 7010520 14021040