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130962349 = 722672701
BaseRepresentation
bin1111100111001…
…01001110101101
3100010102120120101
413303211032231
5232011243344
620554551101
73150106300
oct763451655
9303376511
10130962349
1167a19a51
1237a38491
132119481b
1413570b37
15b76d9d4
hex7ce53ad

130962349 has 6 divisors (see below), whose sum is σ = 152344014. Its totient is φ = 112253400.

The previous prime is 130962229. The next prime is 130962361. The reversal of 130962349 is 943269031.

It can be written as a sum of positive squares in only one way, i.e., 82937449 + 48024900 = 9107^2 + 6930^2 .

It is not a de Polignac number, because 130962349 - 29 = 130961837 is a prime.

It is a super-2 number, since 2×1309623492 = 34302273711195602, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130962389) 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 5 ways as a sum of consecutive naturals, for example, 1336302 + ... + 1336399.

It is an arithmetic number, because the mean of its divisors is an integer number (25390669).

Almost surely, 2130962349 is an apocalyptic number.

It is an amenable number.

130962349 is a deficient number, since it is larger than the sum of its proper divisors (21381665).

130962349 is an equidigital number, since it uses as much as digits as its factorization.

130962349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672715 (or 2672708 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 130962349 is about 11443.8782324874. The cubic root of 130962349 is about 507.8266466289.

The spelling of 130962349 in words is "one hundred thirty million, nine hundred sixty-two thousand, three hundred forty-nine".

Divisors: 1 7 49 2672701 18708907 130962349