Search a number
-
+
10158208 = 27611301
BaseRepresentation
bin100110110000…
…000010000000
3201010002102221
4212300002000
510100030313
61001420424
7152225524
oct46600200
921102387
1010158208
115809015
12349a714
132148898
1414c5d84
15d59c8d
hex9b0080

10158208 has 32 divisors (see below), whose sum is σ = 20584620. Its totient is φ = 4992000.

The previous prime is 10158199. The next prime is 10158227. The reversal of 10158208 is 80285101.

It can be written as a sum of positive squares in 2 ways, for example, as 6190144 + 3968064 = 2488^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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, 7158 + ... + 8458.

Almost surely, 210158208 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 10158208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10292310).

10158208 is an abundant number, since it is smaller than the sum of its proper divisors (10426412).

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

10158208 is an equidigital number, since it uses as much as digits as its factorization.

10158208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 25.

The square root of 10158208 is about 3187.1943775051. The cubic root of 10158208 is about 216.5736921275.

The spelling of 10158208 in words is "ten million, one hundred fifty-eight thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1301 1952 2602 3904 5204 7808 10408 20816 41632 79361 83264 158722 166528 317444 634888 1269776 2539552 5079104 10158208