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100000008 = 2334154321
BaseRepresentation
bin1011111010111…
…10000100001000
320222011112020000
411331132010020
5201100000013
613531203000
72322662133
oct575360410
9228145200
10100000008
11514a1539
12295a6460
1317943804
14d3d121a
158ba4973
hex5f5e108

100000008 has 40 divisors (see below), whose sum is σ = 280094430. Its totient is φ = 33333120.

The previous prime is 100000007. The next prime is 100000037. The reversal of 100000008 is 800000001.

It can be written as a sum of positive squares in only one way, i.e., 98366724 + 1633284 = 9918^2 + 1278^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (100000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 76513 + ... + 77808.

Almost surely, 2100000008 is an apocalyptic number.

100000008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100000008 is an abundant number, since it is smaller than the sum of its proper divisors (180094422).

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

100000008 is a wasteful number, since it uses less digits than its factorization.

100000008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154339 (or 154326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 100000008 is about 10000.0004000000. Note that the first 3 decimals coincide. The cubic root of 100000008 is about 464.1588957388.

Adding to 100000008 its reverse (800000001), we get a palindrome (900000009).

The spelling of 100000008 in words is "one hundred million, eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 154321 308642 462963 617284 925926 1234568 1388889 1851852 2777778 3703704 4166667 5555556 8333334 11111112 12500001 16666668 25000002 33333336 50000004 100000008