Search a number
-
+
100001328 = 2437297623
BaseRepresentation
bin1011111010111…
…10011000110000
320222011121000220
411331132120300
5201100020303
613531213040
72322666030
oct575363060
9228147026
10100001328
11514a2529
12295a7180
13179442ab
14d3d18c0
158ba5053
hex5f5e630

100001328 has 40 divisors (see below), whose sum is σ = 295243008. Its totient is φ = 28571712.

The previous prime is 100001303. The next prime is 100001329. The reversal of 100001328 is 823100001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100001329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148476 + ... + 149147.

Almost surely, 2100001328 is an apocalyptic number.

It is an amenable number.

100001328 is an abundant number, since it is smaller than the sum of its proper divisors (195241680).

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

100001328 is a wasteful number, since it uses less digits than its factorization.

100001328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297641 (or 297635 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 100001328 is about 10000.0663997796. The cubic root of 100001328 is about 464.1609380288.

Adding to 100001328 its reverse (823100001), we get a palindrome (923101329).

The spelling of 100001328 in words is "one hundred million, one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 297623 595246 892869 1190492 1785738 2083361 2380984 3571476 4166722 4761968 6250083 7142952 8333444 12500166 14285904 16666888 25000332 33333776 50000664 100001328