Search a number
-
+
121089400 = 23524114767
BaseRepresentation
bin1110011011110…
…10110101111000
322102211222102121
413031322311320
5221444330100
620003211024
73000146215
oct715726570
9272758377
10121089400
1162396293
1234676a74
131c118a43
1412120b0c
15a96d51a
hex737ad78

121089400 has 48 divisors (see below), whose sum is σ = 288419040. Its totient is φ = 47251200.

The previous prime is 121089377. The next prime is 121089403. The reversal of 121089400 is 4980121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121089403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 817 + ... + 15583.

It is an arithmetic number, because the mean of its divisors is an integer number (6008730).

Almost surely, 2121089400 is an apocalyptic number.

121089400 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 121089400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144209520).

121089400 is an abundant number, since it is smaller than the sum of its proper divisors (167329640).

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

121089400 is a wasteful number, since it uses less digits than its factorization.

121089400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14824 (or 14815 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

The square root of 121089400 is about 11004.0628860435. The cubic root of 121089400 is about 494.7305270691.

The spelling of 121089400 in words is "one hundred twenty-one million, eighty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 164 200 205 328 410 820 1025 1640 2050 4100 8200 14767 29534 59068 73835 118136 147670 295340 369175 590680 605447 738350 1210894 1476700 2421788 2953400 3027235 4843576 6054470 12108940 15136175 24217880 30272350 60544700 121089400