Search a number
-
+
27350136 = 2335111279
BaseRepresentation
bin110100001010…
…1010001111000
31220110112100000
41220111101320
524000201021
62414113000
7451321002
oct150252170
956415300
1027350136
1114490620
1291ab760
135887b18
1438bd372
152603b26
hex1a15478

27350136 has 96 divisors (see below), whose sum is σ = 83865600. Its totient is φ = 8281440.

The previous prime is 27350131. The next prime is 27350179. The reversal of 27350136 is 63105372.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27350131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20745 + ... + 22023.

It is an arithmetic number, because the mean of its divisors is an integer number (873600).

Almost surely, 227350136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27350136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41932800).

27350136 is an abundant number, since it is smaller than the sum of its proper divisors (56515464).

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

27350136 is a wasteful number, since it uses less digits than its factorization.

27350136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1311 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 27350136 is about 5229.7357485823. The cubic root of 27350136 is about 301.2912344055.

The spelling of 27350136 in words is "twenty-seven million, three hundred fifty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 243 264 297 324 396 486 594 648 792 891 972 1188 1279 1782 1944 2376 2558 2673 3564 3837 5116 5346 7128 7674 10232 10692 11511 14069 15348 21384 23022 28138 30696 34533 42207 46044 56276 69066 84414 92088 103599 112552 126621 138132 168828 207198 253242 276264 310797 337656 379863 414396 506484 621594 759726 828792 1012968 1139589 1243188 1519452 2279178 2486376 3038904 3418767 4558356 6837534 9116712 13675068 27350136