Search a number
-
+
27675690 = 2357267281
BaseRepresentation
bin110100110010…
…0110000101010
31221002001220120
41221210300222
524041110230
62425104110
7454145100
oct151446052
957061816
1027675690
1114693179
129328036
135970063
143965c70
15266a310
hex1a64c2a

27675690 has 96 divisors (see below), whose sum is σ = 78698304. Its totient is φ = 6209280.

The previous prime is 27675689. The next prime is 27675691. The reversal of 27675690 is 9657672.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (27675689) and next prime (27675691).

It is a super-2 number, since 2×276756902 = 1531887633952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (27675691) 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 47 ways as a sum of consecutive naturals, for example, 98350 + ... + 98630.

It is an arithmetic number, because the mean of its divisors is an integer number (819774).

Almost surely, 227675690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27675690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39349152).

27675690 is an abundant number, since it is smaller than the sum of its proper divisors (51022614).

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

27675690 is a wasteful number, since it uses less digits than its factorization.

27675690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 27675690 is about 5260.7689552004. The cubic root of 27675690 is about 302.4819650929.

The spelling of 27675690 in words is "twenty-seven million, six hundred seventy-five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 67 70 98 105 134 147 201 210 245 281 294 335 402 469 490 562 670 735 843 938 1005 1405 1407 1470 1686 1967 2010 2345 2810 2814 3283 3934 4215 4690 5901 6566 7035 8430 9835 9849 11802 13769 14070 16415 18827 19670 19698 27538 29505 32830 37654 41307 49245 56481 59010 68845 82614 94135 98490 112962 131789 137690 188270 206535 263578 282405 395367 413070 564810 658945 790734 922523 1317890 1845046 1976835 2767569 3953670 4612615 5535138 9225230 13837845 27675690