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1013005296 = 243259311863
BaseRepresentation
bin111100011000010…
…011101111110000
32121121011000000200
4330120103233300
54033312132141
6244304115200
734050255132
oct7430235760
92547130020
101013005296
1147a8a6966
12243305b00
13131b41924
1498775052
155ddeeab6
hex3c613bf0

1013005296 has 60 divisors (see below), whose sum is σ = 2840028048. Its totient is φ = 337070592.

The previous prime is 1013005283. The next prime is 1013005297. The reversal of 1013005296 is 6925003101.

1013005296 is a `hidden beast` number, since 1 + 0 + 130 + 0 + 529 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013005297) 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, 79461 + ... + 91323.

Almost surely, 21013005296 is an apocalyptic number.

1013005296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1013005296 is an abundant number, since it is smaller than the sum of its proper divisors (1827022752).

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

1013005296 is a wasteful number, since it uses less digits than its factorization.

1013005296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12470 (or 12461 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1013005296 is about 31827.7441236416. The cubic root of 1013005296 is about 1004.3164402032.

Adding to 1013005296 its reverse (6925003101), we get a palindrome (7938008397).

The spelling of 1013005296 in words is "one billion, thirteen million, five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 593 1186 1779 2372 3558 4744 5337 7116 9488 10674 11863 14232 21348 23726 28464 35589 42696 47452 71178 85392 94904 106767 142356 189808 213534 284712 427068 569424 854136 1708272 7034759 14069518 21104277 28139036 42208554 56278072 63312831 84417108 112556144 126625662 168834216 253251324 337668432 506502648 1013005296