Search a number
-
+
1049714640 = 243451317733
BaseRepresentation
bin111110100100010…
…101111111010000
32201011020000210000
4332210111333100
54122211332030
6252055010000
735004266352
oct7644257720
92634200700
101049714640
1149959a167
12253669900
13139625730
149d5ad0d2
1562251860
hex3e915fd0

1049714640 has 400 divisors, whose sum is σ = 4162889808. Its totient is φ = 242860032.

The previous prime is 1049714639. The next prime is 1049714663. The reversal of 1049714640 is 464179401.

1049714640 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 7 + 1 + 4 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 41525136 + 1008189504 = 6444^2 + 31752^2 .

It is a super-2 number, since 2×10497146402 = 2203801650860659200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1049714595 and 1049714604.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1431714 + ... + 1432446.

Almost surely, 21049714640 is an apocalyptic number.

1049714640 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 1049714640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081444904).

1049714640 is an abundant number, since it is smaller than the sum of its proper divisors (3113175168).

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

1049714640 is a wasteful number, since it uses less digits than its factorization.

1049714640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1049714640 is about 32399.2999924381. The cubic root of 1049714640 is about 1016.3042726424.

The spelling of 1049714640 in words is "one billion, forty-nine million, seven hundred fourteen thousand, six hundred forty".