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1053036405 = 32542715479
BaseRepresentation
bin111110110001000…
…000111101110101
32201101110210101100
4332301000331311
54124034131110
6252254120313
735044442661
oct7661007565
92641423340
101053036405
114a0458923
122547b0099
1313a219685
149dbd58a1
15626aabc0
hex3ec40f75

1053036405 has 24 divisors (see below), whose sum is σ = 1826023680. Its totient is φ = 561385440.

The previous prime is 1053036379. The next prime is 1053036409. The reversal of 1053036405 is 5046303501.

1053036405 is a `hidden beast` number, since 10 + 5 + 3 + 0 + 3 + 640 + 5 = 666.

It is not a de Polignac number, because 1053036405 - 214 = 1053020021 is a prime.

It is a super-2 number, since 2×10530364052 = 2217771340510648050, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053036409) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 189456 + ... + 194934.

It is an arithmetic number, because the mean of its divisors is an integer number (76084320).

Almost surely, 21053036405 is an apocalyptic number.

1053036405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1053036405 is a deficient number, since it is larger than the sum of its proper divisors (772987275).

1053036405 is a wasteful number, since it uses less digits than its factorization.

1053036405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9761 (or 9758 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 1053036405 is about 32450.5224149011. The cubic root of 1053036405 is about 1017.3751570856.

Adding to 1053036405 its reverse (5046303501), we get a palindrome (6099339906).

The spelling of 1053036405 in words is "one billion, fifty-three million, thirty-six thousand, four hundred five".

Divisors: 1 3 5 9 15 45 4271 5479 12813 16437 21355 27395 38439 49311 64065 82185 192195 246555 23400809 70202427 117004045 210607281 351012135 1053036405