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130635737 = 1092414973
BaseRepresentation
bin1111100100101…
…01011111011001
3100002210222112122
413302111133121
5231420320422
620543551025
73144246131
oct762253731
9302728478
10130635737
1167816621
12378bb475
13210abc6b
14134c7ac1
15b706d42
hex7c957d9

130635737 has 8 divisors (see below), whose sum is σ = 132407880. Its totient is φ = 128874240.

The previous prime is 130635731. The next prime is 130635751. The reversal of 130635737 is 737536031.

It can be written as a sum of positive squares in 4 ways, for example, as 54405376 + 76230361 = 7376^2 + 8731^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130635737 - 24 = 130635721 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 130635697 and 130635706.

It is not an unprimeable number, because it can be changed into a prime (130635731) 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 7 ways as a sum of consecutive naturals, for example, 23783 + ... + 28755.

It is an arithmetic number, because the mean of its divisors is an integer number (16550985).

Almost surely, 2130635737 is an apocalyptic number.

It is an amenable number.

130635737 is a deficient number, since it is larger than the sum of its proper divisors (1772143).

130635737 is a wasteful number, since it uses less digits than its factorization.

130635737 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323.

The product of its (nonzero) digits is 39690, while the sum is 35.

The square root of 130635737 is about 11429.5991618254. The cubic root of 130635737 is about 507.4041324412.

The spelling of 130635737 in words is "one hundred thirty million, six hundred thirty-five thousand, seven hundred thirty-seven".

Divisors: 1 109 241 4973 26269 542057 1198493 130635737