Search a number
-
+
1154980 = 225174379
BaseRepresentation
bin100011001111110100100
32011200100001
410121332210
5243424410
640431044
712550201
oct4317644
92150301
101154980
11719832
12478484
13315928
14220ca8
1517c33a
hex119fa4

1154980 has 48 divisors (see below), whose sum is σ = 2661120. Its totient is φ = 419328.

The previous prime is 1154971. The next prime is 1154987. The reversal of 1154980 is 894511.

1154980 = T119 + T120 + ... + T204.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1154987) 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 15 ways as a sum of consecutive naturals, for example, 14581 + ... + 14659.

It is an arithmetic number, because the mean of its divisors is an integer number (55440).

21154980 is an apocalyptic number.

1154980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1154980 is the 680-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1154980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330560).

1154980 is an abundant number, since it is smaller than the sum of its proper divisors (1506140).

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

1154980 is a wasteful number, since it uses less digits than its factorization.

1154980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 1154980 is about 1074.6999581278. The cubic root of 1154980 is about 104.9199692506.

The spelling of 1154980 in words is "one million, one hundred fifty-four thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 43 68 79 85 86 158 170 172 215 316 340 395 430 731 790 860 1343 1462 1580 2686 2924 3397 3655 5372 6715 6794 7310 13430 13588 14620 16985 26860 33970 57749 67940 115498 230996 288745 577490 1154980