Search a number
-
+
121673000 = 2353281433
BaseRepresentation
bin1110100000010…
…01010100101000
322110221121222102
413100021110220
5222122014000
620023512532
73005126531
oct720112450
9273847872
10121673000
11627547a9
12348b8748
131c291577
1412233688
15aa363d5
hex7409528

121673000 has 64 divisors (see below), whose sum is σ = 286387920. Its totient is φ = 48384000.

The previous prime is 121672997. The next prime is 121673011. The reversal of 121673000 is 376121.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 276676 + 121396324 = 526^2 + 11018^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a plaindrome in base 14.

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, 280784 + ... + 281216.

Almost surely, 2121673000 is an apocalyptic number.

121673000 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 121673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143193960).

121673000 is an abundant number, since it is smaller than the sum of its proper divisors (164714920).

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

121673000 is a wasteful number, since it uses less digits than its factorization.

121673000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 121673000 is about 11030.5484904423. The cubic root of 121673000 is about 495.5240513292.

The spelling of 121673000 in words is "one hundred twenty-one million, six hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 281 433 500 562 866 1000 1124 1405 1732 2165 2248 2810 3464 4330 5620 7025 8660 10825 11240 14050 17320 21650 28100 35125 43300 54125 56200 70250 86600 108250 121673 140500 216500 243346 281000 433000 486692 608365 973384 1216730 2433460 3041825 4866920 6083650 12167300 15209125 24334600 30418250 60836500 121673000