Search a number
-
+
100091000 = 2353101991
BaseRepresentation
bin1011111011101…
…00010001111000
320222100011001002
411331310101320
5201110403000
613533144132
72323521332
oct575642170
9228304032
10100091000
1151553939
122962b048
1317976059
14d416452
158bc18d5
hex5f74478

100091000 has 64 divisors (see below), whose sum is σ = 236770560. Its totient is φ = 39600000.

The previous prime is 100090999. The next prime is 100091023. The reversal of 100091000 is 190001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100505 + ... + 101495.

It is an arithmetic number, because the mean of its divisors is an integer number (3699540).

Almost surely, 2100091000 is an apocalyptic number.

100091000 is a gapful number since it is divisible by the number (10) 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 100091000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118385280).

100091000 is an abundant number, since it is smaller than the sum of its proper divisors (136679560).

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

100091000 is a wasteful number, since it uses less digits than its factorization.

100091000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 100091000 is about 10004.5489653457. The cubic root of 100091000 is about 464.2996355364.

Subtracting from 100091000 its reverse (190001), we obtain a palindrome (99900999).

The spelling of 100091000 in words is "one hundred million, ninety-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 125 200 202 250 404 500 505 808 991 1000 1010 1982 2020 2525 3964 4040 4955 5050 7928 9910 10100 12625 19820 20200 24775 25250 39640 49550 50500 99100 100091 101000 123875 198200 200182 247750 400364 495500 500455 800728 991000 1000910 2001820 2502275 4003640 5004550 10009100 12511375 20018200 25022750 50045500 100091000