Search a number
-
+
1041324984 = 23357591297
BaseRepresentation
bin111110000100010…
…101101110111000
32200120102210100000
4332010111232320
54113034344414
6251155113000
734543054620
oct7604255670
92616383300
101041324984
11494889967
122508a2760
13137978b3b
149c427880
1561645b09
hex3e115bb8

1041324984 has 192 divisors, whose sum is σ = 3401798400. Its totient is φ = 292253184.

The previous prime is 1041324983. The next prime is 1041324989. The reversal of 1041324984 is 4894231401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041324983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 802224 + ... + 803520.

It is an arithmetic number, because the mean of its divisors is an integer number (17717700).

Almost surely, 21041324984 is an apocalyptic number.

1041324984 is a gapful number since it is divisible by the number (14) 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 1041324984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700899200).

1041324984 is an abundant number, since it is smaller than the sum of its proper divisors (2360473416).

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

1041324984 is a wasteful number, since it uses less digits than its factorization.

1041324984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1384 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1041324984 is about 32269.5674591402. The cubic root of 1041324984 is about 1013.5894840482.

The spelling of 1041324984 in words is "one billion, forty-one million, three hundred twenty-four thousand, nine hundred eighty-four".