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100035468 = 223213213751
BaseRepresentation
bin1011111011001…
…10101110001100
320222020022212100
411331212232030
5201102113333
613532035100
72323200411
oct575465614
9228208770
10100035468
1151516145
1229602a90
13179569b0
14d400108
158bb0213
hex5f66b8c

100035468 has 36 divisors (see below), whose sum is σ = 272320048. Its totient is φ = 30780000.

The previous prime is 100035461. The next prime is 100035473. The reversal of 100035468 is 864530001.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (100035461) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106408 + ... + 107343.

Almost surely, 2100035468 is an apocalyptic number.

100035468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

100035468 is an abundant number, since it is smaller than the sum of its proper divisors (172284580).

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

100035468 is a wasteful number, since it uses less digits than its factorization.

100035468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213774 (or 213769 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100035468 is about 10001.7732427805. The cubic root of 100035468 is about 464.2137528323.

Adding to 100035468 its reverse (864530001), we get a palindrome (964565469).

The spelling of 100035468 in words is "one hundred million, thirty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 213751 427502 641253 855004 1282506 1923759 2565012 2778763 3847518 5557526 7695036 8336289 11115052 16672578 25008867 33345156 50017734 100035468