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14927920 = 2457192361
BaseRepresentation
bin111000111100…
…100000110000
31001002102020221
4320330200300
512310143140
61251542424
7240612430
oct70744060
931072227
1014927920
118476627
124bbaa14
1331288b7
141da82c0
15149d14a
hexe3c830

14927920 has 160 divisors (see below), whose sum is σ = 44282880. Its totient is φ = 4561920.

The previous prime is 14927917. The next prime is 14927929. The reversal of 14927920 is 2972941.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14927929) 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, 244690 + ... + 244750.

It is an arithmetic number, because the mean of its divisors is an integer number (276768).

Almost surely, 214927920 is an apocalyptic number.

14927920 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 14927920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22141440).

14927920 is an abundant number, since it is smaller than the sum of its proper divisors (29354960).

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

14927920 is a wasteful number, since it uses less digits than its factorization.

14927920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 14927920 is about 3863.6666522877. Note that the first 4 decimals coincide. The cubic root of 14927920 is about 246.2255406147.

The spelling of 14927920 in words is "fourteen million, nine hundred twenty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 23 28 35 38 40 46 56 61 70 76 80 92 95 112 115 122 133 140 152 161 184 190 230 244 266 280 304 305 322 368 380 427 437 460 488 532 560 610 644 665 760 805 854 874 920 976 1064 1159 1220 1288 1330 1403 1520 1610 1708 1748 1840 2128 2135 2185 2318 2440 2576 2660 2806 3059 3220 3416 3496 4270 4370 4636 4880 5320 5612 5795 6118 6440 6832 6992 7015 8113 8540 8740 9272 9821 10640 11224 11590 12236 12880 14030 15295 16226 17080 17480 18544 19642 22448 23180 24472 26657 28060 30590 32452 34160 34960 39284 40565 46360 48944 49105 53314 56120 61180 64904 78568 81130 92720 98210 106628 112240 122360 129808 133285 157136 162260 186599 196420 213256 244720 266570 324520 373198 392840 426512 533140 649040 746396 785680 932995 1066280 1492792 1865990 2132560 2985584 3731980 7463960 14927920