Search a number
-
+
100336896 = 28321137107
BaseRepresentation
bin1011111101100…
…00010100000000
320222210122100100
411332300110000
5201141240041
613542322400
72325564252
oct576602400
9228718310
10100336896
1151701660
1229729400
1317a30c5a
14d47bcd2
158c1e6b6
hex5fb0500

100336896 has 216 divisors, whose sum is σ = 327154464. Its totient is φ = 29306880.

The previous prime is 100336883. The next prime is 100336913. The reversal of 100336896 is 698633001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100336896.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 937675 + ... + 937781.

It is an arithmetic number, because the mean of its divisors is an integer number (1514604).

Almost surely, 2100336896 is an apocalyptic number.

100336896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100336896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577232).

100336896 is an abundant number, since it is smaller than the sum of its proper divisors (226817568).

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

100336896 is a wasteful number, since it uses less digits than its factorization.

100336896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 100336896 is about 10016.8306364838. The cubic root of 100336896 is about 464.6795433413.

Adding to 100336896 its reverse (698633001), we get a palindrome (798969897).

The spelling of 100336896 in words is "one hundred million, three hundred thirty-six thousand, eight hundred ninety-six".