Search a number
-
+
27103232 = 21213509
BaseRepresentation
bin110011101100…
…1000000000000
31212222222122102
41213121000000
523414300412
62404525532
7446242112
oct147310000
955888572
1027103232
1114332072
1290b08a8
1357cc620
1438573b2
1525a58c2
hex19d9000

27103232 has 52 divisors (see below), whose sum is σ = 58483740. Its totient is φ = 12484608.

The previous prime is 27103217. The next prime is 27103247. The reversal of 27103232 is 23230172.

It is an interprime number because it is at equal distance from previous prime (27103217) and next prime (27103247).

It can be written as a sum of positive squares in 2 ways, for example, as 12845056 + 14258176 = 3584^2 + 3776^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52994 + ... + 53502.

Almost surely, 227103232 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 27103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29241870).

27103232 is an abundant number, since it is smaller than the sum of its proper divisors (31380508).

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

27103232 is an equidigital number, since it uses as much as digits as its factorization.

27103232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 27103232 is about 5206.0764496884. The cubic root of 27103232 is about 300.3818544917.

The spelling of 27103232 in words is "twenty-seven million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 509 512 832 1018 1024 1664 2036 2048 3328 4072 4096 6617 6656 8144 13234 13312 16288 26468 26624 32576 52936 53248 65152 105872 130304 211744 260608 423488 521216 846976 1042432 1693952 2084864 3387904 6775808 13551616 27103232