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1041410720 = 25572132833
BaseRepresentation
bin111110000100101…
…010101010100000
32200120121010221102
4332010222222200
54113100120340
6251201013532
734543562600
oct7604525240
92616533842
101041410720
11494938319
122509242a8
131379a8b7c
149c44ac00
1561661215
hex3e12aaa0

1041410720 has 72 divisors (see below), whose sum is σ = 2862041364. Its totient is φ = 357052416.

The previous prime is 1041410707. The next prime is 1041410731. The reversal of 1041410720 is 270141401.

It can be written as a sum of positive squares in 2 ways, for example, as 866007184 + 175403536 = 29428^2 + 13244^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1041410692 and 1041410701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58577 + ... + 74256.

Almost surely, 21041410720 is an apocalyptic number.

1041410720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1041410720 is an abundant number, since it is smaller than the sum of its proper divisors (1820630644).

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

1041410720 is a wasteful number, since it uses less digits than its factorization.

1041410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132862 (or 132847 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 1041410720 is about 32270.8958660896. The cubic root of 1041410720 is about 1013.6173007639.

The spelling of 1041410720 in words is "one billion, forty-one million, four hundred ten thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 132833 265666 531332 664165 929831 1062664 1328330 1859662 2125328 2656660 3719324 4250656 4649155 5313320 6508817 7438648 9298310 10626640 13017634 14877296 18596620 21253280 26035268 29754592 32544085 37193240 52070536 65088170 74386480 104141072 130176340 148772960 208282144 260352680 520705360 1041410720