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27697140 = 2235541139
BaseRepresentation
bin110100110100…
…1111111110100
31221010011100000
41221221333310
524042302030
62425351300
7454264452
oct151517764
957104300
1027697140
11146a82a9
129338530
135979a53
14396d9d2
152671860
hex1a69ff4

27697140 has 144 divisors (see below), whose sum is σ = 89893440. Its totient is φ = 7153920.

The previous prime is 27697093. The next prime is 27697141. The reversal of 27697140 is 4179672.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 27697095 and 27697104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27697141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199191 + ... + 199329.

It is an arithmetic number, because the mean of its divisors is an integer number (624260).

Almost surely, 227697140 is an apocalyptic number.

27697140 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 27697140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44946720).

27697140 is an abundant number, since it is smaller than the sum of its proper divisors (62196300).

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

27697140 is a wasteful number, since it uses less digits than its factorization.

27697140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 27697140 is about 5262.8072356871. The cubic root of 27697140 is about 302.5600909696.

The spelling of 27697140 in words is "twenty-seven million, six hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 81 82 90 108 123 135 139 162 164 180 205 243 246 270 278 324 369 405 410 417 486 492 540 556 615 695 738 810 820 834 972 1107 1215 1230 1251 1390 1476 1620 1668 1845 2085 2214 2430 2460 2502 2780 3321 3690 3753 4170 4428 4860 5004 5535 5699 6255 6642 7380 7506 8340 9963 11070 11259 11398 12510 13284 15012 16605 17097 18765 19926 22140 22518 22796 25020 28495 33210 33777 34194 37530 39852 45036 49815 51291 56295 56990 66420 67554 68388 75060 85485 99630 102582 112590 113980 135108 153873 168885 170970 199260 205164 225180 256455 307746 337770 341940 461619 512910 615492 675540 769365 923238 1025820 1384857 1538730 1846476 2308095 2769714 3077460 4616190 5539428 6924285 9232380 13848570 27697140