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1042414240 = 25572132961
BaseRepresentation
bin111110001000011…
…111101010100000
32200122111010111211
4332020133222200
54113324223430
6251234315504
734555242400
oct7610375240
92618433454
101042414240
1149546327a
12251128b94
13137c6a87a
149c62c800
15617ad72a
hex3e21faa0

1042414240 has 72 divisors (see below), whose sum is σ = 2864799252. Its totient is φ = 357396480.

The previous prime is 1042414199. The next prime is 1042414249. The reversal of 1042414240 is 424142401.

1042414240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1035037584 + 7376656 = 32172^2 + 2716^2 .

It is not an unprimeable number, because it can be changed into a prime (1042414249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58641 + ... + 74320.

Almost surely, 21042414240 is an apocalyptic number.

1042414240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1042414240 is an abundant number, since it is smaller than the sum of its proper divisors (1822385012).

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

1042414240 is a wasteful number, since it uses less digits than its factorization.

1042414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132990 (or 132975 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 1042414240 is about 32286.4404975216. The cubic root of 1042414240 is about 1013.9427755145.

Adding to 1042414240 its reverse (424142401), we get a palindrome (1466556641).

The spelling of 1042414240 in words is "one billion, forty-two million, four hundred fourteen thousand, two hundred forty".

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 132961 265922 531844 664805 930727 1063688 1329610 1861454 2127376 2659220 3722908 4254752 4653635 5318440 6515089 7445816 9307270 10636880 13030178 14891632 18614540 21273760 26060356 29783264 32575445 37229080 52120712 65150890 74458160 104241424 130301780 148916320 208482848 260603560 521207120 1042414240