Search a number
-
+
27122040 = 2334511761
BaseRepresentation
bin110011101110…
…1100101111000
31220000221110000
41213131211320
523420401130
62405153000
7446351001
oct147354570
956027400
1027122040
1114345210
1290bb760
13580805a
1438601a8
1525ab260
hex19dd978

27122040 has 160 divisors (see below), whose sum is σ = 99578160. Its totient is φ = 6566400.

The previous prime is 27122009. The next prime is 27122057. The reversal of 27122040 is 4022172.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35260 + ... + 36020.

Almost surely, 227122040 is an apocalyptic number.

27122040 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 27122040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49789080).

27122040 is an abundant number, since it is smaller than the sum of its proper divisors (72456120).

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

27122040 is a wasteful number, since it uses less digits than its factorization.

27122040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 27122040 is about 5207.8824871535. The cubic root of 27122040 is about 300.4513206916.

The spelling of 27122040 in words is "twenty-seven million, one hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 81 88 90 99 108 110 120 132 135 162 165 180 198 216 220 264 270 297 324 330 360 396 405 440 495 540 594 648 660 761 792 810 891 990 1080 1188 1320 1485 1522 1620 1782 1980 2283 2376 2970 3044 3240 3564 3805 3960 4455 4566 5940 6088 6849 7128 7610 8371 8910 9132 11415 11880 13698 15220 16742 17820 18264 20547 22830 25113 27396 30440 33484 34245 35640 41094 41855 45660 50226 54792 61641 66968 68490 75339 82188 83710 91320 100452 102735 123282 125565 136980 150678 164376 167420 200904 205470 226017 246564 251130 273960 301356 308205 334840 376695 410940 452034 493128 502260 602712 616410 678051 753390 821880 904068 1004520 1130085 1232820 1356102 1506780 1808136 2260170 2465640 2712204 3013560 3390255 4520340 5424408 6780510 9040680 13561020 27122040