Search a number
-
+
100806360 = 2335840053
BaseRepresentation
bin1100000001000…
…10111011011000
321000200111022220
412000202323120
5201301300420
614000344040
72332561044
oct600427330
9230614286
10100806360
11519a2346
1229915020
1317b66845
14d561024
158cb3840
hex6022ed8

100806360 has 32 divisors (see below), whose sum is σ = 302419440. Its totient is φ = 26881664.

The previous prime is 100806359. The next prime is 100806367. The reversal of 100806360 is 63608001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100806360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100806367) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 419907 + ... + 420146.

Almost surely, 2100806360 is an apocalyptic number.

100806360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100806360 is an abundant number, since it is smaller than the sum of its proper divisors (201613080).

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

100806360 is a wasteful number, since it uses less digits than its factorization.

100806360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840067 (or 840063 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 100806360 is about 10040.2370489944. The cubic root of 100806360 is about 465.4031421191.

The spelling of 100806360 in words is "one hundred million, eight hundred six thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 840053 1680106 2520159 3360212 4200265 5040318 6720424 8400530 10080636 12600795 16801060 20161272 25201590 33602120 50403180 100806360