Search a number
-
+
100040643 = 33191911021
BaseRepresentation
bin1011111011001…
…11111111000011
320222020120222000
411331213333003
5201102300033
613532115043
72323221453
oct575477703
9228216860
10100040643
115151a01a
1229605a83
1317959161
14d401d63
158bb1a13
hex5f67fc3

100040643 has 32 divisors (see below), whose sum is σ = 156979200. Its totient is φ = 62791200.

The previous prime is 100040641. The next prime is 100040653. The reversal of 100040643 is 346040001.

It is not a de Polignac number, because 100040643 - 21 = 100040641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100040641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97473 + ... + 98493.

It is an arithmetic number, because the mean of its divisors is an integer number (4905600).

Almost surely, 2100040643 is an apocalyptic number.

100040643 is a deficient number, since it is larger than the sum of its proper divisors (56938557).

100040643 is a wasteful number, since it uses less digits than its factorization.

100040643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 100040643 is about 10002.0319435603. The cubic root of 100040643 is about 464.2217575424.

Adding to 100040643 its reverse (346040001), we get a palindrome (446080644).

The spelling of 100040643 in words is "one hundred million, forty thousand, six hundred forty-three".

Divisors: 1 3 9 19 27 57 171 191 513 573 1021 1719 3063 3629 5157 9189 10887 19399 27567 32661 58197 97983 174591 195011 523773 585033 1755099 3705209 5265297 11115627 33346881 100040643