Search a number
-
+
27009990 = 2335731461
BaseRepresentation
bin110011100001…
…0001111000110
31212211020202000
41213002033012
523403304430
62402530130
7445403220
oct147021706
955736660
1027009990
1114279007
129066946
135799057
143831410
152587e60
hex19c23c6

27009990 has 128 divisors (see below), whose sum is σ = 85155840. Its totient is φ = 5961600.

The previous prime is 27009989. The next prime is 27010003. The reversal of 27009990 is 9990072.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58360 + ... + 58820.

It is an arithmetic number, because the mean of its divisors is an integer number (665280).

Almost surely, 227009990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27009990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42577920).

27009990 is an abundant number, since it is smaller than the sum of its proper divisors (58145850).

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

27009990 is a wasteful number, since it uses less digits than its factorization.

27009990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 27009990 is about 5197.1136220021. The cubic root of 27009990 is about 300.0369954376.

The spelling of 27009990 in words is "twenty-seven million, nine thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 270 279 310 315 378 434 461 465 558 630 651 837 922 930 945 1085 1302 1383 1395 1674 1890 1953 2170 2305 2766 2790 3227 3255 3906 4149 4185 4610 5859 6454 6510 6915 8298 8370 9681 9765 11718 12447 13830 14291 16135 19362 19530 20745 24894 28582 29043 29295 32270 41490 42873 48405 58086 58590 62235 71455 85746 87129 96810 100037 124470 128619 142910 145215 174258 200074 214365 257238 290430 300111 385857 428730 435645 500185 600222 643095 771714 871290 900333 1000370 1286190 1500555 1800666 1929285 2700999 3001110 3858570 4501665 5401998 9003330 13504995 27009990