Search a number
-
+
121409000 = 2353167727
BaseRepresentation
bin1110011110010…
…00110111101000
322110110012211122
413033020313220
5222040042000
620014114412
73002650046
oct717106750
9273405748
10121409000
1162594419
12347aba08
131c1cb35b
14121a5396
15a9d3085
hex73c8de8

121409000 has 64 divisors (see below), whose sum is σ = 286191360. Its totient is φ = 48206400.

The previous prime is 121408979. The next prime is 121409003. The reversal of 121409000 is 904121.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 121409000.

It is not an unprimeable number, because it can be changed into a prime (121409003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166637 + ... + 167363.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2121409000 is an apocalyptic number.

121409000 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 121409000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143095680).

121409000 is an abundant number, since it is smaller than the sum of its proper divisors (164782360).

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

121409000 is a wasteful number, since it uses less digits than its factorization.

121409000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 121409000 is about 11018.5752254999. The cubic root of 121409000 is about 495.1654040310.

The spelling of 121409000 in words is "one hundred twenty-one million, four hundred nine thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 167 200 250 334 500 668 727 835 1000 1336 1454 1670 2908 3340 3635 4175 5816 6680 7270 8350 14540 16700 18175 20875 29080 33400 36350 41750 72700 83500 90875 121409 145400 167000 181750 242818 363500 485636 607045 727000 971272 1214090 2428180 3035225 4856360 6070450 12140900 15176125 24281800 30352250 60704500 121409000