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1307550933 = 321333432
BaseRepresentation
bin100110111101111…
…1010010011010101
310101010101110200100
41031323322103111
510134213112213
6333425204313
744254666563
oct11573722325
93333343610
101307550933
11611095407
12305a90699
1317ab7cba0
14c5928a33
1579bd2773
hex4defa4d5

1307550933 has 18 divisors (see below), whose sum is σ = 2034576726. Its totient is φ = 804406032.

The previous prime is 1307550931. The next prime is 1307550941. The reversal of 1307550933 is 3390557031.

It is a happy number.

1307550933 is a `hidden beast` number, since 13 + 0 + 7 + 550 + 93 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 905227569 + 402323364 = 30087^2 + 20058^2 .

It is not a de Polignac number, because 1307550933 - 21 = 1307550931 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307550931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 389460 + ... + 392802.

Almost surely, 21307550933 is an apocalyptic number.

1307550933 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1307550933 is a deficient number, since it is larger than the sum of its proper divisors (727025793).

1307550933 is an frugal number, since it uses more digits than its factorization.

1307550933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6705 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 42525, while the sum is 36.

The square root of 1307550933 is about 36160.0737416283. The cubic root of 1307550933 is about 1093.5018907679.

The spelling of 1307550933 in words is "one billion, three hundred seven million, five hundred fifty thousand, nine hundred thirty-three".

Divisors: 1 3 9 13 39 117 3343 10029 30087 43459 130377 391131 11175649 33526947 100580841 145283437 435850311 1307550933