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27121080 = 2335783389
BaseRepresentation
bin110011101110…
…1010110111000
31220000220010110
41213131112320
523420333310
62405144320
7446345130
oct147352670
956026113
1027121080
1114344518
1290bb0a0
13580779c
14385dac0
1525aad20
hex19dd5b8

27121080 has 128 divisors (see below), whose sum is σ = 94348800. Its totient is φ = 6108672.

The previous prime is 27121067. The next prime is 27121093. The reversal of 27121080 is 8012172.

It is an interprime number because it is at equal distance from previous prime (27121067) and next prime (27121093).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69526 + ... + 69914.

It is an arithmetic number, because the mean of its divisors is an integer number (737100).

Almost surely, 227121080 is an apocalyptic number.

27121080 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 27121080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

27121080 is an abundant number, since it is smaller than the sum of its proper divisors (67227720).

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

27121080 is a wasteful number, since it uses less digits than its factorization.

27121080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 27121080 is about 5207.7903183596. The cubic root of 27121080 is about 300.4477757681.

The spelling of 27121080 in words is "twenty-seven million, one hundred twenty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 210 249 280 332 389 415 420 498 581 664 778 830 840 996 1162 1167 1245 1556 1660 1743 1945 1992 2324 2334 2490 2723 2905 3112 3320 3486 3890 4648 4668 4980 5446 5810 5835 6972 7780 8169 8715 9336 9960 10892 11620 11670 13615 13944 15560 16338 17430 21784 23240 23340 27230 32287 32676 34860 40845 46680 54460 64574 65352 69720 81690 96861 108920 129148 161435 163380 193722 226009 258296 322870 326760 387444 452018 484305 645740 678027 774888 904036 968610 1130045 1291480 1356054 1808072 1937220 2260090 2712108 3390135 3874440 4520180 5424216 6780270 9040360 13560540 27121080